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Finding the Fourth Proportional to 1,278.48, 1,916.64 and 508.56

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Solution

The fourth proportional to 1,278.48, 1,916.64 and 508.56 is: 762.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,278.48 : 1,916.64 = 508.56 : x
  2. Step 2: Convert to fraction form
    1,278.48/1,916.64 = 508.56/x
  3. Step 3: Cross multiply
    1,278.48x = 1,916.64 × 508.56
  4. Step 4: Simplify right side
    1,278.48x = 974,726.44
  5. Step 5: Solve for x
    x = 974,726.44/1,278.48
  6. Step 6: Final answer
    x = 762.41

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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.