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Finding the Fourth Proportional to 711.94, 1,062.48 and 702.76

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Solution

The fourth proportional to 711.94, 1,062.48 and 702.76 is: 1,048.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    711.94 : 1,062.48 = 702.76 : x
  2. Step 2: Convert to fraction form
    711.94/1,062.48 = 702.76/x
  3. Step 3: Cross multiply
    711.94x = 1,062.48 × 702.76
  4. Step 4: Simplify right side
    711.94x = 746,668.44
  5. Step 5: Solve for x
    x = 746,668.44/711.94
  6. Step 6: Final answer
    x = 1,048.78

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Why These Related Problems?

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