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Finding the Fourth Proportional to 1,358.52, 1,877.82 and 1,012.44

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Solution

The fourth proportional to 1,358.52, 1,877.82 and 1,012.44 is: 1,399.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,358.52 : 1,877.82 = 1,012.44 : x
  2. Step 2: Convert to fraction form
    1,358.52/1,877.82 = 1,012.44/x
  3. Step 3: Cross multiply
    1,358.52x = 1,877.82 × 1,012.44
  4. Step 4: Simplify right side
    1,358.52x = 1,901,180.08
  5. Step 5: Solve for x
    x = 1,901,180.08/1,358.52
  6. Step 6: Final answer
    x = 1,399.45

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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.