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Finding the Fourth Proportional to 1,142.96, 1,712.48 and 816.72

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Solution

The fourth proportional to 1,142.96, 1,712.48 and 816.72 is: 1,223.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,142.96 : 1,712.48 = 816.72 : x
  2. Step 2: Convert to fraction form
    1,142.96/1,712.48 = 816.72/x
  3. Step 3: Cross multiply
    1,142.96x = 1,712.48 × 816.72
  4. Step 4: Simplify right side
    1,142.96x = 1,398,616.67
  5. Step 5: Solve for x
    x = 1,398,616.67/1,142.96
  6. Step 6: Final answer
    x = 1,223.68

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.