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Finding the Fourth Proportional to 1,088.01, 1,500.89 and 689.00

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Solution

The fourth proportional to 1,088.01, 1,500.89 and 689.00 is: 950.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,088.01 : 1,500.89 = 689.00 : x
  2. Step 2: Convert to fraction form
    1,088.01/1,500.89 = 689.00/x
  3. Step 3: Cross multiply
    1,088.01x = 1,500.89 × 689.00
  4. Step 4: Simplify right side
    1,088.01x = 1,034,107.43
  5. Step 5: Solve for x
    x = 1,034,107.43/1,088.01
  6. Step 6: Final answer
    x = 950.46

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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.