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Finding the Fourth Proportional to 977.77, 1,465.97 and 490.49

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Solution

The fourth proportional to 977.77, 1,465.97 and 490.49 is: 735.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    977.77 : 1,465.97 = 490.49 : x
  2. Step 2: Convert to fraction form
    977.77/1,465.97 = 490.49/x
  3. Step 3: Cross multiply
    977.77x = 1,465.97 × 490.49
  4. Step 4: Simplify right side
    977.77x = 719,033.84
  5. Step 5: Solve for x
    x = 719,033.84/977.77
  6. Step 6: Final answer
    x = 735.38

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Half scale
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Double scale
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Similar ratio
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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.