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Finding the Fourth Proportional to 1,042.41, 1,438.20 and 628.41

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Solution

The fourth proportional to 1,042.41, 1,438.20 and 628.41 is: 867.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,042.41 : 1,438.20 = 628.41 : x
  2. Step 2: Convert to fraction form
    1,042.41/1,438.20 = 628.41/x
  3. Step 3: Cross multiply
    1,042.41x = 1,438.20 × 628.41
  4. Step 4: Simplify right side
    1,042.41x = 903,779.26
  5. Step 5: Solve for x
    x = 903,779.26/1,042.41
  6. Step 6: Final answer
    x = 867.01

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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.