Home / 1,149.04-1,724.13-455.70

Finding the Fourth Proportional to 1,149.04, 1,724.13 and 455.70

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Solution

The fourth proportional to 1,149.04, 1,724.13 and 455.70 is: 683.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,149.04 : 1,724.13 = 455.70 : x
  2. Step 2: Convert to fraction form
    1,149.04/1,724.13 = 455.70/x
  3. Step 3: Cross multiply
    1,149.04x = 1,724.13 × 455.70
  4. Step 4: Simplify right side
    1,149.04x = 785,678.56
  5. Step 5: Solve for x
    x = 785,678.56/1,149.04
  6. Step 6: Final answer
    x = 683.77

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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.