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Finding the Fourth Proportional to 1,042.02, 1,560.96 and 694.32

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Solution

The fourth proportional to 1,042.02, 1,560.96 and 694.32 is: 1,040.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,042.02 : 1,560.96 = 694.32 : x
  2. Step 2: Convert to fraction form
    1,042.02/1,560.96 = 694.32/x
  3. Step 3: Cross multiply
    1,042.02x = 1,560.96 × 694.32
  4. Step 4: Simplify right side
    1,042.02x = 1,083,805.75
  5. Step 5: Solve for x
    x = 1,083,805.75/1,042.02
  6. Step 6: Final answer
    x = 1,040.10

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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.