Home / 1,470.68-2,206.24-430.75

Finding the Fourth Proportional to 1,470.68, 2,206.24 and 430.75

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Solution

The fourth proportional to 1,470.68, 2,206.24 and 430.75 is: 646.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,470.68 : 2,206.24 = 430.75 : x
  2. Step 2: Convert to fraction form
    1,470.68/2,206.24 = 430.75/x
  3. Step 3: Cross multiply
    1,470.68x = 2,206.24 × 430.75
  4. Step 4: Simplify right side
    1,470.68x = 950,337.88
  5. Step 5: Solve for x
    x = 950,337.88/1,470.68
  6. Step 6: Final answer
    x = 646.19

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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.