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Finding the Fourth Proportional to 977.84, 1,349.93 and 679.49

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Solution

The fourth proportional to 977.84, 1,349.93 and 679.49 is: 938.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    977.84 : 1,349.93 = 679.49 : x
  2. Step 2: Convert to fraction form
    977.84/1,349.93 = 679.49/x
  3. Step 3: Cross multiply
    977.84x = 1,349.93 × 679.49
  4. Step 4: Simplify right side
    977.84x = 917,263.95
  5. Step 5: Solve for x
    x = 917,263.95/977.84
  6. Step 6: Final answer
    x = 938.05

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.