Home / 1,180.04-1,770.10-314.52

Finding the Fourth Proportional to 1,180.04, 1,770.10 and 314.52

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Solution

The fourth proportional to 1,180.04, 1,770.10 and 314.52 is: 471.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,180.04 : 1,770.10 = 314.52 : x
  2. Step 2: Convert to fraction form
    1,180.04/1,770.10 = 314.52/x
  3. Step 3: Cross multiply
    1,180.04x = 1,770.10 × 314.52
  4. Step 4: Simplify right side
    1,180.04x = 556,731.85
  5. Step 5: Solve for x
    x = 556,731.85/1,180.04
  6. Step 6: Final answer
    x = 471.79

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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.