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Finding the Fourth Proportional to 1,471.76, 2,207.16 and 497.72

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Solution

The fourth proportional to 1,471.76, 2,207.16 and 497.72 is: 746.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,471.76 : 2,207.16 = 497.72 : x
  2. Step 2: Convert to fraction form
    1,471.76/2,207.16 = 497.72/x
  3. Step 3: Cross multiply
    1,471.76x = 2,207.16 × 497.72
  4. Step 4: Simplify right side
    1,471.76x = 1,098,547.68
  5. Step 5: Solve for x
    x = 1,098,547.68/1,471.76
  6. Step 6: Final answer
    x = 746.42

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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.