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Finding the Fourth Proportional to 1,023.45, 1,411.08 and 865.80

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Solution

The fourth proportional to 1,023.45, 1,411.08 and 865.80 is: 1,193.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,023.45 : 1,411.08 = 865.80 : x
  2. Step 2: Convert to fraction form
    1,023.45/1,411.08 = 865.80/x
  3. Step 3: Cross multiply
    1,023.45x = 1,411.08 × 865.80
  4. Step 4: Simplify right side
    1,023.45x = 1,221,713.06
  5. Step 5: Solve for x
    x = 1,221,713.06/1,023.45
  6. Step 6: Final answer
    x = 1,193.72

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.