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Finding the Fourth Proportional to 1,177.03, 1,765.82 and 355.31

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Solution

The fourth proportional to 1,177.03, 1,765.82 and 355.31 is: 533.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,177.03 : 1,765.82 = 355.31 : x
  2. Step 2: Convert to fraction form
    1,177.03/1,765.82 = 355.31/x
  3. Step 3: Cross multiply
    1,177.03x = 1,765.82 × 355.31
  4. Step 4: Simplify right side
    1,177.03x = 627,402.90
  5. Step 5: Solve for x
    x = 627,402.90/1,177.03
  6. Step 6: Final answer
    x = 533.04

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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.