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Finding the Fourth Proportional to 1,042.46, 1,438.88 and 649.25

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Solution

The fourth proportional to 1,042.46, 1,438.88 and 649.25 is: 896.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,042.46 : 1,438.88 = 649.25 : x
  2. Step 2: Convert to fraction form
    1,042.46/1,438.88 = 649.25/x
  3. Step 3: Cross multiply
    1,042.46x = 1,438.88 × 649.25
  4. Step 4: Simplify right side
    1,042.46x = 934,192.84
  5. Step 5: Solve for x
    x = 934,192.84/1,042.46
  6. Step 6: Final answer
    x = 896.14

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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.