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Finding the Fourth Proportional to 867.37, 1,195.76 and 587.16

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Solution

The fourth proportional to 867.37, 1,195.76 and 587.16 is: 809.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    867.37 : 1,195.76 = 587.16 : x
  2. Step 2: Convert to fraction form
    867.37/1,195.76 = 587.16/x
  3. Step 3: Cross multiply
    867.37x = 1,195.76 × 587.16
  4. Step 4: Simplify right side
    867.37x = 702,096.46
  5. Step 5: Solve for x
    x = 702,096.46/867.37
  6. Step 6: Final answer
    x = 809.46

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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.