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Finding the Fourth Proportional to 1,205.45, 1,664.07 and 708.13

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Solution

The fourth proportional to 1,205.45, 1,664.07 and 708.13 is: 977.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,205.45 : 1,664.07 = 708.13 : x
  2. Step 2: Convert to fraction form
    1,205.45/1,664.07 = 708.13/x
  3. Step 3: Cross multiply
    1,205.45x = 1,664.07 × 708.13
  4. Step 4: Simplify right side
    1,205.45x = 1,178,371.94
  5. Step 5: Solve for x
    x = 1,178,371.94/1,205.45
  6. Step 6: Final answer
    x = 977.53

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Half scale
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Double scale
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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.