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Finding the Fourth Proportional to 695.68, 959.24 and 520.72

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Solution

The fourth proportional to 695.68, 959.24 and 520.72 is: 718.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    695.68 : 959.24 = 520.72 : x
  2. Step 2: Convert to fraction form
    695.68/959.24 = 520.72/x
  3. Step 3: Cross multiply
    695.68x = 959.24 × 520.72
  4. Step 4: Simplify right side
    695.68x = 499,495.45
  5. Step 5: Solve for x
    x = 499,495.45/695.68
  6. Step 6: Final answer
    x = 718.00

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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.