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Finding the Fourth Proportional to 898.71, 1,240.32 and 567.12

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Solution

The fourth proportional to 898.71, 1,240.32 and 567.12 is: 782.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    898.71 : 1,240.32 = 567.12 : x
  2. Step 2: Convert to fraction form
    898.71/1,240.32 = 567.12/x
  3. Step 3: Cross multiply
    898.71x = 1,240.32 × 567.12
  4. Step 4: Simplify right side
    898.71x = 703,410.28
  5. Step 5: Solve for x
    x = 703,410.28/898.71
  6. Step 6: Final answer
    x = 782.69

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.