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Finding the Fourth Proportional to 898.28, 1,240.08 and 649.88

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Solution

The fourth proportional to 898.28, 1,240.08 and 649.88 is: 897.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    898.28 : 1,240.08 = 649.88 : x
  2. Step 2: Convert to fraction form
    898.28/1,240.08 = 649.88/x
  3. Step 3: Cross multiply
    898.28x = 1,240.08 × 649.88
  4. Step 4: Simplify right side
    898.28x = 805,903.19
  5. Step 5: Solve for x
    x = 805,903.19/898.28
  6. Step 6: Final answer
    x = 897.16

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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.