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Finding the Fourth Proportional to 883.61, 1,322.66 and 689.18

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Solution

The fourth proportional to 883.61, 1,322.66 and 689.18 is: 1,031.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    883.61 : 1,322.66 = 689.18 : x
  2. Step 2: Convert to fraction form
    883.61/1,322.66 = 689.18/x
  3. Step 3: Cross multiply
    883.61x = 1,322.66 × 689.18
  4. Step 4: Simplify right side
    883.61x = 911,545.93
  5. Step 5: Solve for x
    x = 911,545.93/883.61
  6. Step 6: Final answer
    x = 1,031.62

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.