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Finding the Fourth Proportional to 1,042.34, 1,559.66 and 734.94

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Solution

The fourth proportional to 1,042.34, 1,559.66 and 734.94 is: 1,099.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,042.34 : 1,559.66 = 734.94 : x
  2. Step 2: Convert to fraction form
    1,042.34/1,559.66 = 734.94/x
  3. Step 3: Cross multiply
    1,042.34x = 1,559.66 × 734.94
  4. Step 4: Simplify right side
    1,042.34x = 1,146,252.85
  5. Step 5: Solve for x
    x = 1,146,252.85/1,042.34
  6. Step 6: Final answer
    x = 1,099.70

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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.