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Finding the Fourth Proportional to 1,023.74, 1,412.69 and 575.67

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Solution

The fourth proportional to 1,023.74, 1,412.69 and 575.67 is: 794.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,023.74 : 1,412.69 = 575.67 : x
  2. Step 2: Convert to fraction form
    1,023.74/1,412.69 = 575.67/x
  3. Step 3: Cross multiply
    1,023.74x = 1,412.69 × 575.67
  4. Step 4: Simplify right side
    1,023.74x = 813,243.91
  5. Step 5: Solve for x
    x = 813,243.91/1,023.74
  6. Step 6: Final answer
    x = 794.39

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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.