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Finding the Fourth Proportional to 1,177.38, 1,765.73 and 474.59

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Solution

The fourth proportional to 1,177.38, 1,765.73 and 474.59 is: 711.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,177.38 : 1,765.73 = 474.59 : x
  2. Step 2: Convert to fraction form
    1,177.38/1,765.73 = 474.59/x
  3. Step 3: Cross multiply
    1,177.38x = 1,765.73 × 474.59
  4. Step 4: Simplify right side
    1,177.38x = 837,986.60
  5. Step 5: Solve for x
    x = 837,986.60/1,177.38
  6. Step 6: Final answer
    x = 711.74

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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.