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Finding the Fourth Proportional to 1,023.07, 1,531.87 and 842.65

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Solution

The fourth proportional to 1,023.07, 1,531.87 and 842.65 is: 1,261.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,023.07 : 1,531.87 = 842.65 : x
  2. Step 2: Convert to fraction form
    1,023.07/1,531.87 = 842.65/x
  3. Step 3: Cross multiply
    1,023.07x = 1,531.87 × 842.65
  4. Step 4: Simplify right side
    1,023.07x = 1,290,830.26
  5. Step 5: Solve for x
    x = 1,290,830.26/1,023.07
  6. Step 6: Final answer
    x = 1,261.72

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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.