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Finding the Fourth Proportional to 898.59, 1,239.65 and 649.52

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Solution

The fourth proportional to 898.59, 1,239.65 and 649.52 is: 896.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    898.59 : 1,239.65 = 649.52 : x
  2. Step 2: Convert to fraction form
    898.59/1,239.65 = 649.52/x
  3. Step 3: Cross multiply
    898.59x = 1,239.65 × 649.52
  4. Step 4: Simplify right side
    898.59x = 805,177.47
  5. Step 5: Solve for x
    x = 805,177.47/898.59
  6. Step 6: Final answer
    x = 896.05

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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.