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Finding the Fourth Proportional to 1,149.47, 1,715.37 and 1,026.44

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Solution

The fourth proportional to 1,149.47, 1,715.37 and 1,026.44 is: 1,531.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,149.47 : 1,715.37 = 1,026.44 : x
  2. Step 2: Convert to fraction form
    1,149.47/1,715.37 = 1,026.44/x
  3. Step 3: Cross multiply
    1,149.47x = 1,715.37 × 1,026.44
  4. Step 4: Simplify right side
    1,149.47x = 1,760,719.25
  5. Step 5: Solve for x
    x = 1,760,719.25/1,149.47
  6. Step 6: Final answer
    x = 1,531.77

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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.