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Finding the Fourth Proportional to 1,142.29, 1,576.29 and 644.95

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Solution

The fourth proportional to 1,142.29, 1,576.29 and 644.95 is: 889.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,142.29 : 1,576.29 = 644.95 : x
  2. Step 2: Convert to fraction form
    1,142.29/1,576.29 = 644.95/x
  3. Step 3: Cross multiply
    1,142.29x = 1,576.29 × 644.95
  4. Step 4: Simplify right side
    1,142.29x = 1,016,628.24
  5. Step 5: Solve for x
    x = 1,016,628.24/1,142.29
  6. Step 6: Final answer
    x = 889.99

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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.