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Finding the Fourth Proportional to 1,177.57, 1,767.12 and 528.31

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Solution

The fourth proportional to 1,177.57, 1,767.12 and 528.31 is: 792.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,177.57 : 1,767.12 = 528.31 : x
  2. Step 2: Convert to fraction form
    1,177.57/1,767.12 = 528.31/x
  3. Step 3: Cross multiply
    1,177.57x = 1,767.12 × 528.31
  4. Step 4: Simplify right side
    1,177.57x = 933,587.17
  5. Step 5: Solve for x
    x = 933,587.17/1,177.57
  6. Step 6: Final answer
    x = 792.81

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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.