Home / 1,154.59-1,731.96-414.34

Finding the Fourth Proportional to 1,154.59, 1,731.96 and 414.34

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Solution

The fourth proportional to 1,154.59, 1,731.96 and 414.34 is: 621.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,154.59 : 1,731.96 = 414.34 : x
  2. Step 2: Convert to fraction form
    1,154.59/1,731.96 = 414.34/x
  3. Step 3: Cross multiply
    1,154.59x = 1,731.96 × 414.34
  4. Step 4: Simplify right side
    1,154.59x = 717,620.31
  5. Step 5: Solve for x
    x = 717,620.31/1,154.59
  6. Step 6: Final answer
    x = 621.54

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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.