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Finding the Fourth Proportional to 860.24, 1,187.14 and 467.28

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Solution

The fourth proportional to 860.24, 1,187.14 and 467.28 is: 644.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    860.24 : 1,187.14 = 467.28 : x
  2. Step 2: Convert to fraction form
    860.24/1,187.14 = 467.28/x
  3. Step 3: Cross multiply
    860.24x = 1,187.14 × 467.28
  4. Step 4: Simplify right side
    860.24x = 554,726.78
  5. Step 5: Solve for x
    x = 554,726.78/860.24
  6. Step 6: Final answer
    x = 644.85

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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.