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Finding the Fourth Proportional to 1,087.49, 1,498.97 and 909.83

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Solution

The fourth proportional to 1,087.49, 1,498.97 and 909.83 is: 1,254.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,087.49 : 1,498.97 = 909.83 : x
  2. Step 2: Convert to fraction form
    1,087.49/1,498.97 = 909.83/x
  3. Step 3: Cross multiply
    1,087.49x = 1,498.97 × 909.83
  4. Step 4: Simplify right side
    1,087.49x = 1,363,813.90
  5. Step 5: Solve for x
    x = 1,363,813.90/1,087.49
  6. Step 6: Final answer
    x = 1,254.09

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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.