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Finding the Fourth Proportional to 1,398.34, 2,097.52 and 565.79

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Solution

The fourth proportional to 1,398.34, 2,097.52 and 565.79 is: 848.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,398.34 : 2,097.52 = 565.79 : x
  2. Step 2: Convert to fraction form
    1,398.34/2,097.52 = 565.79/x
  3. Step 3: Cross multiply
    1,398.34x = 2,097.52 × 565.79
  4. Step 4: Simplify right side
    1,398.34x = 1,186,743.94
  5. Step 5: Solve for x
    x = 1,186,743.94/1,398.34
  6. Step 6: Final answer
    x = 848.68

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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.