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Finding the Fourth Proportional to 1,342.46, 1,852.34 and 752.90

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Solution

The fourth proportional to 1,342.46, 1,852.34 and 752.90 is: 1,038.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,342.46 : 1,852.34 = 752.90 : x
  2. Step 2: Convert to fraction form
    1,342.46/1,852.34 = 752.90/x
  3. Step 3: Cross multiply
    1,342.46x = 1,852.34 × 752.90
  4. Step 4: Simplify right side
    1,342.46x = 1,394,613.76
  5. Step 5: Solve for x
    x = 1,394,613.76/1,342.46
  6. Step 6: Final answer
    x = 1,038.85

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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.