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Finding the Fourth Proportional to 698.65, 1,047.16 and 514.34

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Solution

The fourth proportional to 698.65, 1,047.16 and 514.34 is: 770.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    698.65 : 1,047.16 = 514.34 : x
  2. Step 2: Convert to fraction form
    698.65/1,047.16 = 514.34/x
  3. Step 3: Cross multiply
    698.65x = 1,047.16 × 514.34
  4. Step 4: Simplify right side
    698.65x = 538,596.27
  5. Step 5: Solve for x
    x = 538,596.27/698.65
  6. Step 6: Final answer
    x = 770.91

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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.