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Finding the Fourth Proportional to 1,471.56, 2,207.43 and 497.58

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Solution

The fourth proportional to 1,471.56, 2,207.43 and 497.58 is: 746.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,471.56 : 2,207.43 = 497.58 : x
  2. Step 2: Convert to fraction form
    1,471.56/2,207.43 = 497.58/x
  3. Step 3: Cross multiply
    1,471.56x = 2,207.43 × 497.58
  4. Step 4: Simplify right side
    1,471.56x = 1,098,373.02
  5. Step 5: Solve for x
    x = 1,098,373.02/1,471.56
  6. Step 6: Final answer
    x = 746.40

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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.