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Finding the Fourth Proportional to 696.50, 1,045.22 and 514.34

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Solution

The fourth proportional to 696.50, 1,045.22 and 514.34 is: 771.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    696.50 : 1,045.22 = 514.34 : x
  2. Step 2: Convert to fraction form
    696.50/1,045.22 = 514.34/x
  3. Step 3: Cross multiply
    696.50x = 1,045.22 × 514.34
  4. Step 4: Simplify right side
    696.50x = 537,590.66
  5. Step 5: Solve for x
    x = 537,590.66/696.50
  6. Step 6: Final answer
    x = 771.85

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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.