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Finding the Fourth Proportional to 1,177.58, 1,765.70 and 355.61

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Solution

The fourth proportional to 1,177.58, 1,765.70 and 355.61 is: 533.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,177.58 : 1,765.70 = 355.61 : x
  2. Step 2: Convert to fraction form
    1,177.58/1,765.70 = 355.61/x
  3. Step 3: Cross multiply
    1,177.58x = 1,765.70 × 355.61
  4. Step 4: Simplify right side
    1,177.58x = 627,898.80
  5. Step 5: Solve for x
    x = 627,898.80/1,177.58
  6. Step 6: Final answer
    x = 533.21

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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.