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Finding the Fourth Proportional to 1,262.34, 1,742.12 and 702.84

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Solution

The fourth proportional to 1,262.34, 1,742.12 and 702.84 is: 969.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,262.34 : 1,742.12 = 702.84 : x
  2. Step 2: Convert to fraction form
    1,262.34/1,742.12 = 702.84/x
  3. Step 3: Cross multiply
    1,262.34x = 1,742.12 × 702.84
  4. Step 4: Simplify right side
    1,262.34x = 1,224,431.62
  5. Step 5: Solve for x
    x = 1,224,431.62/1,262.34
  6. Step 6: Final answer
    x = 969.97

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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.