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Finding the Fourth Proportional to 1,023.70, 1,412.69 and 557.95

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Solution

The fourth proportional to 1,023.70, 1,412.69 and 557.95 is: 769.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,023.70 : 1,412.69 = 557.95 : x
  2. Step 2: Convert to fraction form
    1,023.70/1,412.69 = 557.95/x
  3. Step 3: Cross multiply
    1,023.70x = 1,412.69 × 557.95
  4. Step 4: Simplify right side
    1,023.70x = 788,200.53
  5. Step 5: Solve for x
    x = 788,200.53/1,023.70
  6. Step 6: Final answer
    x = 769.96

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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.