Home / 1,156.11-1,734.13-506.85

Finding the Fourth Proportional to 1,156.11, 1,734.13 and 506.85

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Solution

The fourth proportional to 1,156.11, 1,734.13 and 506.85 is: 760.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,156.11 : 1,734.13 = 506.85 : x
  2. Step 2: Convert to fraction form
    1,156.11/1,734.13 = 506.85/x
  3. Step 3: Cross multiply
    1,156.11x = 1,734.13 × 506.85
  4. Step 4: Simplify right side
    1,156.11x = 878,941.26
  5. Step 5: Solve for x
    x = 878,941.26/1,156.11
  6. Step 6: Final answer
    x = 760.26

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.