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Finding the Fourth Proportional to 1,076.88, 1,602.59 and 1,038

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Solution

The fourth proportional to 1,076.88, 1,602.59 and 1,038 is: 1,544.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,076.88 : 1,602.59 = 1,038 : x
  2. Step 2: Convert to fraction form
    1,076.88/1,602.59 = 1,038/x
  3. Step 3: Cross multiply
    1,076.88x = 1,602.59 × 1,038
  4. Step 4: Simplify right side
    1,076.88x = 1,663,488.42
  5. Step 5: Solve for x
    x = 1,663,488.42/1,076.88
  6. Step 6: Final answer
    x = 1,544.73

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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.