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Finding the Fourth Proportional to 1,042.34, 1,437.63 and 649.22

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Solution

The fourth proportional to 1,042.34, 1,437.63 and 649.22 is: 895.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,042.34 : 1,437.63 = 649.22 : x
  2. Step 2: Convert to fraction form
    1,042.34/1,437.63 = 649.22/x
  3. Step 3: Cross multiply
    1,042.34x = 1,437.63 × 649.22
  4. Step 4: Simplify right side
    1,042.34x = 933,338.15
  5. Step 5: Solve for x
    x = 933,338.15/1,042.34
  6. Step 6: Final answer
    x = 895.43

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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.