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Finding the Fourth Proportional to 1,180.35, 1,770.53 and 314.66

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Solution

The fourth proportional to 1,180.35, 1,770.53 and 314.66 is: 471.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,180.35 : 1,770.53 = 314.66 : x
  2. Step 2: Convert to fraction form
    1,180.35/1,770.53 = 314.66/x
  3. Step 3: Cross multiply
    1,180.35x = 1,770.53 × 314.66
  4. Step 4: Simplify right side
    1,180.35x = 557,117.82
  5. Step 5: Solve for x
    x = 557,117.82/1,180.35
  6. Step 6: Final answer
    x = 471.99

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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.