Home / 1,404.12-2,106.24-430.20

Finding the Fourth Proportional to 1,404.12, 2,106.24 and 430.20

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Solution

The fourth proportional to 1,404.12, 2,106.24 and 430.20 is: 645.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,404.12 : 2,106.24 = 430.20 : x
  2. Step 2: Convert to fraction form
    1,404.12/2,106.24 = 430.20/x
  3. Step 3: Cross multiply
    1,404.12x = 2,106.24 × 430.20
  4. Step 4: Simplify right side
    1,404.12x = 906,104.45
  5. Step 5: Solve for x
    x = 906,104.45/1,404.12
  6. Step 6: Final answer
    x = 645.32

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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.