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Finding the Fourth Proportional to 867.41, 1,197.42 and 553.10

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Solution

The fourth proportional to 867.41, 1,197.42 and 553.10 is: 763.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    867.41 : 1,197.42 = 553.10 : x
  2. Step 2: Convert to fraction form
    867.41/1,197.42 = 553.10/x
  3. Step 3: Cross multiply
    867.41x = 1,197.42 × 553.10
  4. Step 4: Simplify right side
    867.41x = 662,293.00
  5. Step 5: Solve for x
    x = 662,293.00/867.41
  6. Step 6: Final answer
    x = 763.53

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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.