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Finding the Fourth Proportional to 1,088.15, 1,627.97 and 761.31

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Solution

The fourth proportional to 1,088.15, 1,627.97 and 761.31 is: 1,138.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,088.15 : 1,627.97 = 761.31 : x
  2. Step 2: Convert to fraction form
    1,088.15/1,627.97 = 761.31/x
  3. Step 3: Cross multiply
    1,088.15x = 1,627.97 × 761.31
  4. Step 4: Simplify right side
    1,088.15x = 1,239,386.03
  5. Step 5: Solve for x
    x = 1,239,386.03/1,088.15
  6. Step 6: Final answer
    x = 1,138.99

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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.