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Finding the Fourth Proportional to 732.69, 1,011.14 and 471.06

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Solution

The fourth proportional to 732.69, 1,011.14 and 471.06 is: 650.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    732.69 : 1,011.14 = 471.06 : x
  2. Step 2: Convert to fraction form
    732.69/1,011.14 = 471.06/x
  3. Step 3: Cross multiply
    732.69x = 1,011.14 × 471.06
  4. Step 4: Simplify right side
    732.69x = 476,307.61
  5. Step 5: Solve for x
    x = 476,307.61/732.69
  6. Step 6: Final answer
    x = 650.08

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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.