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Finding the Fourth Proportional to 1,349.61, 2,024.25 and 471.96

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Solution

The fourth proportional to 1,349.61, 2,024.25 and 471.96 is: 707.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,349.61 : 2,024.25 = 471.96 : x
  2. Step 2: Convert to fraction form
    1,349.61/2,024.25 = 471.96/x
  3. Step 3: Cross multiply
    1,349.61x = 2,024.25 × 471.96
  4. Step 4: Simplify right side
    1,349.61x = 955,365.03
  5. Step 5: Solve for x
    x = 955,365.03/1,349.61
  6. Step 6: Final answer
    x = 707.88

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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.