Home / 1,161.48-1,741.12-430.56

Finding the Fourth Proportional to 1,161.48, 1,741.12 and 430.56

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Solution

The fourth proportional to 1,161.48, 1,741.12 and 430.56 is: 645.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,161.48 : 1,741.12 = 430.56 : x
  2. Step 2: Convert to fraction form
    1,161.48/1,741.12 = 430.56/x
  3. Step 3: Cross multiply
    1,161.48x = 1,741.12 × 430.56
  4. Step 4: Simplify right side
    1,161.48x = 749,656.63
  5. Step 5: Solve for x
    x = 749,656.63/1,161.48
  6. Step 6: Final answer
    x = 645.43

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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.