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Finding the Fourth Proportional to 1,277.89, 1,917.33 and 497.95

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Solution

The fourth proportional to 1,277.89, 1,917.33 and 497.95 is: 747.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,277.89 : 1,917.33 = 497.95 : x
  2. Step 2: Convert to fraction form
    1,277.89/1,917.33 = 497.95/x
  3. Step 3: Cross multiply
    1,277.89x = 1,917.33 × 497.95
  4. Step 4: Simplify right side
    1,277.89x = 954,734.47
  5. Step 5: Solve for x
    x = 954,734.47/1,277.89
  6. Step 6: Final answer
    x = 747.12

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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.