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Finding the Fourth Proportional to 868.02, 1,197.59 and 495.01

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Solution

The fourth proportional to 868.02, 1,197.59 and 495.01 is: 682.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    868.02 : 1,197.59 = 495.01 : x
  2. Step 2: Convert to fraction form
    868.02/1,197.59 = 495.01/x
  3. Step 3: Cross multiply
    868.02x = 1,197.59 × 495.01
  4. Step 4: Simplify right side
    868.02x = 592,818.05
  5. Step 5: Solve for x
    x = 592,818.05/868.02
  6. Step 6: Final answer
    x = 682.96

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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.