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Finding the Fourth Proportional to 1,088.34, 1,500.42 and 689.80

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Solution

The fourth proportional to 1,088.34, 1,500.42 and 689.80 is: 950.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,088.34 : 1,500.42 = 689.80 : x
  2. Step 2: Convert to fraction form
    1,088.34/1,500.42 = 689.80/x
  3. Step 3: Cross multiply
    1,088.34x = 1,500.42 × 689.80
  4. Step 4: Simplify right side
    1,088.34x = 1,034,989.72
  5. Step 5: Solve for x
    x = 1,034,989.72/1,088.34
  6. Step 6: Final answer
    x = 950.98

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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.