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Finding the Fourth Proportional to 1,023.67, 1,535.65 and 407.44

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Solution

The fourth proportional to 1,023.67, 1,535.65 and 407.44 is: 611.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,023.67 : 1,535.65 = 407.44 : x
  2. Step 2: Convert to fraction form
    1,023.67/1,535.65 = 407.44/x
  3. Step 3: Cross multiply
    1,023.67x = 1,535.65 × 407.44
  4. Step 4: Simplify right side
    1,023.67x = 625,685.24
  5. Step 5: Solve for x
    x = 625,685.24/1,023.67
  6. Step 6: Final answer
    x = 611.22

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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.