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Finding the Fourth Proportional to 718.24, 1,082.52 and 678.52

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Solution

The fourth proportional to 718.24, 1,082.52 and 678.52 is: 1,022.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    718.24 : 1,082.52 = 678.52 : x
  2. Step 2: Convert to fraction form
    718.24/1,082.52 = 678.52/x
  3. Step 3: Cross multiply
    718.24x = 1,082.52 × 678.52
  4. Step 4: Simplify right side
    718.24x = 734,511.47
  5. Step 5: Solve for x
    x = 734,511.47/718.24
  6. Step 6: Final answer
    x = 1,022.65

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.