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Finding the Fourth Proportional to 746.51, 1,118.14 and 471.92

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Solution

The fourth proportional to 746.51, 1,118.14 and 471.92 is: 706.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    746.51 : 1,118.14 = 471.92 : x
  2. Step 2: Convert to fraction form
    746.51/1,118.14 = 471.92/x
  3. Step 3: Cross multiply
    746.51x = 1,118.14 × 471.92
  4. Step 4: Simplify right side
    746.51x = 527,665.86
  5. Step 5: Solve for x
    x = 527,665.86/746.51
  6. Step 6: Final answer
    x = 706.85

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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.