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Finding the Fourth Proportional to 1,155.57, 1,733.36 and 747.33

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Solution

The fourth proportional to 1,155.57, 1,733.36 and 747.33 is: 1,121.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,155.57 : 1,733.36 = 747.33 : x
  2. Step 2: Convert to fraction form
    1,155.57/1,733.36 = 747.33/x
  3. Step 3: Cross multiply
    1,155.57x = 1,733.36 × 747.33
  4. Step 4: Simplify right side
    1,155.57x = 1,295,391.93
  5. Step 5: Solve for x
    x = 1,295,391.93/1,155.57
  6. Step 6: Final answer
    x = 1,121.00

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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.