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Finding the Fourth Proportional to 732.97, 1,011.45 and 601.75

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Solution

The fourth proportional to 732.97, 1,011.45 and 601.75 is: 830.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    732.97 : 1,011.45 = 601.75 : x
  2. Step 2: Convert to fraction form
    732.97/1,011.45 = 601.75/x
  3. Step 3: Cross multiply
    732.97x = 1,011.45 × 601.75
  4. Step 4: Simplify right side
    732.97x = 608,640.04
  5. Step 5: Solve for x
    x = 608,640.04/732.97
  6. Step 6: Final answer
    x = 830.38

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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.