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Finding the Fourth Proportional to 1,152.78, 1,591.80 and 733.87

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Solution

The fourth proportional to 1,152.78, 1,591.80 and 733.87 is: 1,013.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,152.78 : 1,591.80 = 733.87 : x
  2. Step 2: Convert to fraction form
    1,152.78/1,591.80 = 733.87/x
  3. Step 3: Cross multiply
    1,152.78x = 1,591.80 × 733.87
  4. Step 4: Simplify right side
    1,152.78x = 1,168,174.27
  5. Step 5: Solve for x
    x = 1,168,174.27/1,152.78
  6. Step 6: Final answer
    x = 1,013.35

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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.