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Finding the Fourth Proportional to 697.16, 963.36 and 500.36

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Solution

The fourth proportional to 697.16, 963.36 and 500.36 is: 691.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    697.16 : 963.36 = 500.36 : x
  2. Step 2: Convert to fraction form
    697.16/963.36 = 500.36/x
  3. Step 3: Cross multiply
    697.16x = 963.36 × 500.36
  4. Step 4: Simplify right side
    697.16x = 482,026.81
  5. Step 5: Solve for x
    x = 482,026.81/697.16
  6. Step 6: Final answer
    x = 691.41

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