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Finding the Fourth Proportional to 898.68, 1,240.17 and 567.54

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Solution

The fourth proportional to 898.68, 1,240.17 and 567.54 is: 783.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    898.68 : 1,240.17 = 567.54 : x
  2. Step 2: Convert to fraction form
    898.68/1,240.17 = 567.54/x
  3. Step 3: Cross multiply
    898.68x = 1,240.17 × 567.54
  4. Step 4: Simplify right side
    898.68x = 703,846.08
  5. Step 5: Solve for x
    x = 703,846.08/898.68
  6. Step 6: Final answer
    x = 783.20

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Why These Related Problems?

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