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Finding the Fourth Proportional to 916.72, 1,265.27 and 636.66

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Solution

The fourth proportional to 916.72, 1,265.27 and 636.66 is: 878.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    916.72 : 1,265.27 = 636.66 : x
  2. Step 2: Convert to fraction form
    916.72/1,265.27 = 636.66/x
  3. Step 3: Cross multiply
    916.72x = 1,265.27 × 636.66
  4. Step 4: Simplify right side
    916.72x = 805,547.20
  5. Step 5: Solve for x
    x = 805,547.20/916.72
  6. Step 6: Final answer
    x = 878.73

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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.