Home / 1,145.20-1,717.60-414.40

Finding the Fourth Proportional to 1,145.20, 1,717.60 and 414.40

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Solution

The fourth proportional to 1,145.20, 1,717.60 and 414.40 is: 621.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,145.20 : 1,717.60 = 414.40 : x
  2. Step 2: Convert to fraction form
    1,145.20/1,717.60 = 414.40/x
  3. Step 3: Cross multiply
    1,145.20x = 1,717.60 × 414.40
  4. Step 4: Simplify right side
    1,145.20x = 711,773.44
  5. Step 5: Solve for x
    x = 711,773.44/1,145.20
  6. Step 6: Final answer
    x = 621.53

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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.