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Finding the Fourth Proportional to 1,023.58, 1,411.48 and 724.69

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Solution

The fourth proportional to 1,023.58, 1,411.48 and 724.69 is: 999.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,023.58 : 1,411.48 = 724.69 : x
  2. Step 2: Convert to fraction form
    1,023.58/1,411.48 = 724.69/x
  3. Step 3: Cross multiply
    1,023.58x = 1,411.48 × 724.69
  4. Step 4: Simplify right side
    1,023.58x = 1,022,880.10
  5. Step 5: Solve for x
    x = 1,022,880.10/1,023.58
  6. Step 6: Final answer
    x = 999.32

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