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Finding the Fourth Proportional to 868.99, 1,302.13 and 478.66

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Solution

The fourth proportional to 868.99, 1,302.13 and 478.66 is: 717.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    868.99 : 1,302.13 = 478.66 : x
  2. Step 2: Convert to fraction form
    868.99/1,302.13 = 478.66/x
  3. Step 3: Cross multiply
    868.99x = 1,302.13 × 478.66
  4. Step 4: Simplify right side
    868.99x = 623,277.55
  5. Step 5: Solve for x
    x = 623,277.55/868.99
  6. Step 6: Final answer
    x = 717.24

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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.