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Finding the Fourth Proportional to 1,276.29, 1,913.49 and 618.15

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Solution

The fourth proportional to 1,276.29, 1,913.49 and 618.15 is: 926.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,276.29 : 1,913.49 = 618.15 : x
  2. Step 2: Convert to fraction form
    1,276.29/1,913.49 = 618.15/x
  3. Step 3: Cross multiply
    1,276.29x = 1,913.49 × 618.15
  4. Step 4: Simplify right side
    1,276.29x = 1,182,823.84
  5. Step 5: Solve for x
    x = 1,182,823.84/1,276.29
  6. Step 6: Final answer
    x = 926.77

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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.