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Finding the Fourth Proportional to 1,177.10, 1,765.70 and 311.42

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Solution

The fourth proportional to 1,177.10, 1,765.70 and 311.42 is: 467.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,177.10 : 1,765.70 = 311.42 : x
  2. Step 2: Convert to fraction form
    1,177.10/1,765.70 = 311.42/x
  3. Step 3: Cross multiply
    1,177.10x = 1,765.70 × 311.42
  4. Step 4: Simplify right side
    1,177.10x = 549,874.29
  5. Step 5: Solve for x
    x = 549,874.29/1,177.10
  6. Step 6: Final answer
    x = 467.14

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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.