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Finding the Fourth Proportional to 1,118.52, 1,671.71 and 1,030.98

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Solution

The fourth proportional to 1,118.52, 1,671.71 and 1,030.98 is: 1,540.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,118.52 : 1,671.71 = 1,030.98 : x
  2. Step 2: Convert to fraction form
    1,118.52/1,671.71 = 1,030.98/x
  3. Step 3: Cross multiply
    1,118.52x = 1,671.71 × 1,030.98
  4. Step 4: Simplify right side
    1,118.52x = 1,723,494.42
  5. Step 5: Solve for x
    x = 1,723,494.42/1,118.52
  6. Step 6: Final answer
    x = 1,540.87

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.