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Finding the Fourth Proportional to 898.52, 1,237.30 and 649.40

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Solution

The fourth proportional to 898.52, 1,237.30 and 649.40 is: 894.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    898.52 : 1,237.30 = 649.40 : x
  2. Step 2: Convert to fraction form
    898.52/1,237.30 = 649.40/x
  3. Step 3: Cross multiply
    898.52x = 1,237.30 × 649.40
  4. Step 4: Simplify right side
    898.52x = 803,502.62
  5. Step 5: Solve for x
    x = 803,502.62/898.52
  6. Step 6: Final answer
    x = 894.25

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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.