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Finding the Fourth Proportional to 1,042.61, 1,438.29 and 669.47

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Solution

The fourth proportional to 1,042.61, 1,438.29 and 669.47 is: 923.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,042.61 : 1,438.29 = 669.47 : x
  2. Step 2: Convert to fraction form
    1,042.61/1,438.29 = 669.47/x
  3. Step 3: Cross multiply
    1,042.61x = 1,438.29 × 669.47
  4. Step 4: Simplify right side
    1,042.61x = 962,884.81
  5. Step 5: Solve for x
    x = 962,884.81/1,042.61
  6. Step 6: Final answer
    x = 923.54

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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.