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Finding the Fourth Proportional to 1,398.47, 2,097.24 and 565.32

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Solution

The fourth proportional to 1,398.47, 2,097.24 and 565.32 is: 847.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,398.47 : 2,097.24 = 565.32 : x
  2. Step 2: Convert to fraction form
    1,398.47/2,097.24 = 565.32/x
  3. Step 3: Cross multiply
    1,398.47x = 2,097.24 × 565.32
  4. Step 4: Simplify right side
    1,398.47x = 1,185,614.74
  5. Step 5: Solve for x
    x = 1,185,614.74/1,398.47
  6. Step 6: Final answer
    x = 847.79

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.