Home / 1,117.12-1,540.16-723.52

Finding the Fourth Proportional to 1,117.12, 1,540.16 and 723.52

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Solution

The fourth proportional to 1,117.12, 1,540.16 and 723.52 is: 997.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,117.12 : 1,540.16 = 723.52 : x
  2. Step 2: Convert to fraction form
    1,117.12/1,540.16 = 723.52/x
  3. Step 3: Cross multiply
    1,117.12x = 1,540.16 × 723.52
  4. Step 4: Simplify right side
    1,117.12x = 1,114,336.56
  5. Step 5: Solve for x
    x = 1,114,336.56/1,117.12
  6. Step 6: Final answer
    x = 997.51

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.