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Finding the Fourth Proportional to 696.50, 960.76 and 509.76

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Solution

The fourth proportional to 696.50, 960.76 and 509.76 is: 703.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    696.50 : 960.76 = 509.76 : x
  2. Step 2: Convert to fraction form
    696.50/960.76 = 509.76/x
  3. Step 3: Cross multiply
    696.50x = 960.76 × 509.76
  4. Step 4: Simplify right side
    696.50x = 489,757.65
  5. Step 5: Solve for x
    x = 489,757.65/696.50
  6. Step 6: Final answer
    x = 703.17

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.