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Finding the Fourth Proportional to 1,348.88, 1,861.47 and 759.40

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Solution

The fourth proportional to 1,348.88, 1,861.47 and 759.40 is: 1,047.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,348.88 : 1,861.47 = 759.40 : x
  2. Step 2: Convert to fraction form
    1,348.88/1,861.47 = 759.40/x
  3. Step 3: Cross multiply
    1,348.88x = 1,861.47 × 759.40
  4. Step 4: Simplify right side
    1,348.88x = 1,413,595.66
  5. Step 5: Solve for x
    x = 1,413,595.66/1,348.88
  6. Step 6: Final answer
    x = 1,047.98

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.