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Finding the Fourth Proportional to 1,142.16, 1,712.16 and 449.28

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Solution

The fourth proportional to 1,142.16, 1,712.16 and 449.28 is: 673.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,142.16 : 1,712.16 = 449.28 : x
  2. Step 2: Convert to fraction form
    1,142.16/1,712.16 = 449.28/x
  3. Step 3: Cross multiply
    1,142.16x = 1,712.16 × 449.28
  4. Step 4: Simplify right side
    1,142.16x = 769,239.24
  5. Step 5: Solve for x
    x = 769,239.24/1,142.16
  6. Step 6: Final answer
    x = 673.50

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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.