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Finding the Fourth Proportional to 1,023.47, 1,535.07 and 633.55

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Solution

The fourth proportional to 1,023.47, 1,535.07 and 633.55 is: 950.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,023.47 : 1,535.07 = 633.55 : x
  2. Step 2: Convert to fraction form
    1,023.47/1,535.07 = 633.55/x
  3. Step 3: Cross multiply
    1,023.47x = 1,535.07 × 633.55
  4. Step 4: Simplify right side
    1,023.47x = 972,535.92
  5. Step 5: Solve for x
    x = 972,535.92/1,023.47
  6. Step 6: Final answer
    x = 950.23

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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.