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Finding the Fourth Proportional to 860.47, 1,187.46 and 487.47

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Solution

The fourth proportional to 860.47, 1,187.46 and 487.47 is: 672.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    860.47 : 1,187.46 = 487.47 : x
  2. Step 2: Convert to fraction form
    860.47/1,187.46 = 487.47/x
  3. Step 3: Cross multiply
    860.47x = 1,187.46 × 487.47
  4. Step 4: Simplify right side
    860.47x = 578,848.90
  5. Step 5: Solve for x
    x = 578,848.90/860.47
  6. Step 6: Final answer
    x = 672.71

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.