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Finding the Fourth Proportional to 862.61, 1,188.14 and 663.06

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Solution

The fourth proportional to 862.61, 1,188.14 and 663.06 is: 913.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    862.61 : 1,188.14 = 663.06 : x
  2. Step 2: Convert to fraction form
    862.61/1,188.14 = 663.06/x
  3. Step 3: Cross multiply
    862.61x = 1,188.14 × 663.06
  4. Step 4: Simplify right side
    862.61x = 787,802.57
  5. Step 5: Solve for x
    x = 787,802.57/862.61
  6. Step 6: Final answer
    x = 913.28

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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.