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Finding the Fourth Proportional to 867.76, 1,302.14 and 319.87

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Solution

The fourth proportional to 867.76, 1,302.14 and 319.87 is: 479.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    867.76 : 1,302.14 = 319.87 : x
  2. Step 2: Convert to fraction form
    867.76/1,302.14 = 319.87/x
  3. Step 3: Cross multiply
    867.76x = 1,302.14 × 319.87
  4. Step 4: Simplify right side
    867.76x = 416,515.52
  5. Step 5: Solve for x
    x = 416,515.52/867.76
  6. Step 6: Final answer
    x = 479.99

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.