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Finding the Fourth Proportional to 1,023.35, 1,411.62 and 724.26

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Solution

The fourth proportional to 1,023.35, 1,411.62 and 724.26 is: 999.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,023.35 : 1,411.62 = 724.26 : x
  2. Step 2: Convert to fraction form
    1,023.35/1,411.62 = 724.26/x
  3. Step 3: Cross multiply
    1,023.35x = 1,411.62 × 724.26
  4. Step 4: Simplify right side
    1,023.35x = 1,022,379.90
  5. Step 5: Solve for x
    x = 1,022,379.90/1,023.35
  6. Step 6: Final answer
    x = 999.05

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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.