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Finding the Fourth Proportional to 746.55, 1,117.53 and 471.69

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Solution

The fourth proportional to 746.55, 1,117.53 and 471.69 is: 706.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    746.55 : 1,117.53 = 471.69 : x
  2. Step 2: Convert to fraction form
    746.55/1,117.53 = 471.69/x
  3. Step 3: Cross multiply
    746.55x = 1,117.53 × 471.69
  4. Step 4: Simplify right side
    746.55x = 527,127.73
  5. Step 5: Solve for x
    x = 527,127.73/746.55
  6. Step 6: Final answer
    x = 706.08

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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.