Home / 1,161.83-1,741.77-545.21

Finding the Fourth Proportional to 1,161.83, 1,741.77 and 545.21

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Solution

The fourth proportional to 1,161.83, 1,741.77 and 545.21 is: 817.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,161.83 : 1,741.77 = 545.21 : x
  2. Step 2: Convert to fraction form
    1,161.83/1,741.77 = 545.21/x
  3. Step 3: Cross multiply
    1,161.83x = 1,741.77 × 545.21
  4. Step 4: Simplify right side
    1,161.83x = 949,621.71
  5. Step 5: Solve for x
    x = 949,621.71/1,161.83
  6. Step 6: Final answer
    x = 817.35

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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.