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Finding the Fourth Proportional to 1,023.98, 1,412.84 and 575.71

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Solution

The fourth proportional to 1,023.98, 1,412.84 and 575.71 is: 794.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,023.98 : 1,412.84 = 575.71 : x
  2. Step 2: Convert to fraction form
    1,023.98/1,412.84 = 575.71/x
  3. Step 3: Cross multiply
    1,023.98x = 1,412.84 × 575.71
  4. Step 4: Simplify right side
    1,023.98x = 813,384.02
  5. Step 5: Solve for x
    x = 813,384.02/1,023.98
  6. Step 6: Final answer
    x = 794.34

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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.