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Finding the Fourth Proportional to 1,042.26, 1,562.29 and 417.32

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Solution

The fourth proportional to 1,042.26, 1,562.29 and 417.32 is: 625.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,042.26 : 1,562.29 = 417.32 : x
  2. Step 2: Convert to fraction form
    1,042.26/1,562.29 = 417.32/x
  3. Step 3: Cross multiply
    1,042.26x = 1,562.29 × 417.32
  4. Step 4: Simplify right side
    1,042.26x = 651,974.86
  5. Step 5: Solve for x
    x = 651,974.86/1,042.26
  6. Step 6: Final answer
    x = 625.54

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.