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Finding the Fourth Proportional to 897.46, 1,237.89 and 566.31

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Solution

The fourth proportional to 897.46, 1,237.89 and 566.31 is: 781.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    897.46 : 1,237.89 = 566.31 : x
  2. Step 2: Convert to fraction form
    897.46/1,237.89 = 566.31/x
  3. Step 3: Cross multiply
    897.46x = 1,237.89 × 566.31
  4. Step 4: Simplify right side
    897.46x = 701,029.49
  5. Step 5: Solve for x
    x = 701,029.49/897.46
  6. Step 6: Final answer
    x = 781.13

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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.