Home / 1,161.18-1,742.00-430.76

Finding the Fourth Proportional to 1,161.18, 1,742.00 and 430.76

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Solution

The fourth proportional to 1,161.18, 1,742.00 and 430.76 is: 646.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,161.18 : 1,742.00 = 430.76 : x
  2. Step 2: Convert to fraction form
    1,161.18/1,742.00 = 430.76/x
  3. Step 3: Cross multiply
    1,161.18x = 1,742.00 × 430.76
  4. Step 4: Simplify right side
    1,161.18x = 750,373.06
  5. Step 5: Solve for x
    x = 750,373.06/1,161.18
  6. Step 6: Final answer
    x = 646.22

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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.