Home / 1,403.42-2,104.98-430.20

Finding the Fourth Proportional to 1,403.42, 2,104.98 and 430.20

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Solution

The fourth proportional to 1,403.42, 2,104.98 and 430.20 is: 645.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,403.42 : 2,104.98 = 430.20 : x
  2. Step 2: Convert to fraction form
    1,403.42/2,104.98 = 430.20/x
  3. Step 3: Cross multiply
    1,403.42x = 2,104.98 × 430.20
  4. Step 4: Simplify right side
    1,403.42x = 905,562.40
  5. Step 5: Solve for x
    x = 905,562.40/1,403.42
  6. Step 6: Final answer
    x = 645.25

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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.