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Finding the Fourth Proportional to 1,277.97, 1,916.52 and 497.91

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Solution

The fourth proportional to 1,277.97, 1,916.52 and 497.91 is: 746.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,277.97 : 1,916.52 = 497.91 : x
  2. Step 2: Convert to fraction form
    1,277.97/1,916.52 = 497.91/x
  3. Step 3: Cross multiply
    1,277.97x = 1,916.52 × 497.91
  4. Step 4: Simplify right side
    1,277.97x = 954,254.47
  5. Step 5: Solve for x
    x = 954,254.47/1,277.97
  6. Step 6: Final answer
    x = 746.70

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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.