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Finding the Fourth Proportional to 1,087.16, 1,500.27 and 589.79

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Solution

The fourth proportional to 1,087.16, 1,500.27 and 589.79 is: 813.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,087.16 : 1,500.27 = 589.79 : x
  2. Step 2: Convert to fraction form
    1,087.16/1,500.27 = 589.79/x
  3. Step 3: Cross multiply
    1,087.16x = 1,500.27 × 589.79
  4. Step 4: Simplify right side
    1,087.16x = 884,836.74
  5. Step 5: Solve for x
    x = 884,836.74/1,087.16
  6. Step 6: Final answer
    x = 813.90

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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.