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Finding the Fourth Proportional to 1,277, 1,916.40 and 507.68

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Solution

The fourth proportional to 1,277, 1,916.40 and 507.68 is: 761.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,277 : 1,916.40 = 507.68 : x
  2. Step 2: Convert to fraction form
    1,277/1,916.40 = 507.68/x
  3. Step 3: Cross multiply
    1,277x = 1,916.40 × 507.68
  4. Step 4: Simplify right side
    1,277x = 972,917.95
  5. Step 5: Solve for x
    x = 972,917.95/1,277
  6. Step 6: Final answer
    x = 761.88

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Why These Related Problems?

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