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Finding the Fourth Proportional to 696.57, 1,045.31 and 514.42

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Solution

The fourth proportional to 696.57, 1,045.31 and 514.42 is: 771.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    696.57 : 1,045.31 = 514.42 : x
  2. Step 2: Convert to fraction form
    696.57/1,045.31 = 514.42/x
  3. Step 3: Cross multiply
    696.57x = 1,045.31 × 514.42
  4. Step 4: Simplify right side
    696.57x = 537,728.37
  5. Step 5: Solve for x
    x = 537,728.37/696.57
  6. Step 6: Final answer
    x = 771.97

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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.