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Finding the Fourth Proportional to 1,177.34, 1,765.80 and 483.98

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Solution

The fourth proportional to 1,177.34, 1,765.80 and 483.98 is: 725.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,177.34 : 1,765.80 = 483.98 : x
  2. Step 2: Convert to fraction form
    1,177.34/1,765.80 = 483.98/x
  3. Step 3: Cross multiply
    1,177.34x = 1,765.80 × 483.98
  4. Step 4: Simplify right side
    1,177.34x = 854,603.06
  5. Step 5: Solve for x
    x = 854,603.06/1,177.34
  6. Step 6: Final answer
    x = 725.88

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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.