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Finding the Fourth Proportional to 696.34, 960.51 and 500.14

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Solution

The fourth proportional to 696.34, 960.51 and 500.14 is: 689.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    696.34 : 960.51 = 500.14 : x
  2. Step 2: Convert to fraction form
    696.34/960.51 = 500.14/x
  3. Step 3: Cross multiply
    696.34x = 960.51 × 500.14
  4. Step 4: Simplify right side
    696.34x = 480,389.47
  5. Step 5: Solve for x
    x = 480,389.47/696.34
  6. Step 6: Final answer
    x = 689.88

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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.