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Finding the Fourth Proportional to 1,023.78, 1,535.80 and 374.42

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Solution

The fourth proportional to 1,023.78, 1,535.80 and 374.42 is: 561.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,023.78 : 1,535.80 = 374.42 : x
  2. Step 2: Convert to fraction form
    1,023.78/1,535.80 = 374.42/x
  3. Step 3: Cross multiply
    1,023.78x = 1,535.80 × 374.42
  4. Step 4: Simplify right side
    1,023.78x = 575,034.24
  5. Step 5: Solve for x
    x = 575,034.24/1,023.78
  6. Step 6: Final answer
    x = 561.68

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.