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Finding the Fourth Proportional to 838.46, 1,257.84 and 702.46

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Solution

The fourth proportional to 838.46, 1,257.84 and 702.46 is: 1,053.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    838.46 : 1,257.84 = 702.46 : x
  2. Step 2: Convert to fraction form
    838.46/1,257.84 = 702.46/x
  3. Step 3: Cross multiply
    838.46x = 1,257.84 × 702.46
  4. Step 4: Simplify right side
    838.46x = 883,582.29
  5. Step 5: Solve for x
    x = 883,582.29/838.46
  6. Step 6: Final answer
    x = 1,053.82

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.