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Finding the Fourth Proportional to 1,023.92, 1,535.96 and 374.64

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Solution

The fourth proportional to 1,023.92, 1,535.96 and 374.64 is: 561.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,023.92 : 1,535.96 = 374.64 : x
  2. Step 2: Convert to fraction form
    1,023.92/1,535.96 = 374.64/x
  3. Step 3: Cross multiply
    1,023.92x = 1,535.96 × 374.64
  4. Step 4: Simplify right side
    1,023.92x = 575,432.05
  5. Step 5: Solve for x
    x = 575,432.05/1,023.92
  6. Step 6: Final answer
    x = 561.99

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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.