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Finding the Fourth Proportional to 1,042.02, 1,561.77 and 733.41

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Solution

The fourth proportional to 1,042.02, 1,561.77 and 733.41 is: 1,099.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,042.02 : 1,561.77 = 733.41 : x
  2. Step 2: Convert to fraction form
    1,042.02/1,561.77 = 733.41/x
  3. Step 3: Cross multiply
    1,042.02x = 1,561.77 × 733.41
  4. Step 4: Simplify right side
    1,042.02x = 1,145,417.74
  5. Step 5: Solve for x
    x = 1,145,417.74/1,042.02
  6. Step 6: Final answer
    x = 1,099.23

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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.