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Finding the Fourth Proportional to 1,023.95, 1,536.02 and 468.61

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Solution

The fourth proportional to 1,023.95, 1,536.02 and 468.61 is: 702.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,023.95 : 1,536.02 = 468.61 : x
  2. Step 2: Convert to fraction form
    1,023.95/1,536.02 = 468.61/x
  3. Step 3: Cross multiply
    1,023.95x = 1,536.02 × 468.61
  4. Step 4: Simplify right side
    1,023.95x = 719,794.33
  5. Step 5: Solve for x
    x = 719,794.33/1,023.95
  6. Step 6: Final answer
    x = 702.96

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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.