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Finding the Fourth Proportional to 1,315.76, 1,815.12 and 868.10

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Solution

The fourth proportional to 1,315.76, 1,815.12 and 868.10 is: 1,197.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,315.76 : 1,815.12 = 868.10 : x
  2. Step 2: Convert to fraction form
    1,315.76/1,815.12 = 868.10/x
  3. Step 3: Cross multiply
    1,315.76x = 1,815.12 × 868.10
  4. Step 4: Simplify right side
    1,315.76x = 1,575,696.60
  5. Step 5: Solve for x
    x = 1,575,696.60/1,315.76
  6. Step 6: Final answer
    x = 1,197.56

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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.