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Finding the Fourth Proportional to 1,277.67, 1,913.80 and 584.92

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Solution

The fourth proportional to 1,277.67, 1,913.80 and 584.92 is: 876.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,277.67 : 1,913.80 = 584.92 : x
  2. Step 2: Convert to fraction form
    1,277.67/1,913.80 = 584.92/x
  3. Step 3: Cross multiply
    1,277.67x = 1,913.80 × 584.92
  4. Step 4: Simplify right side
    1,277.67x = 1,119,410.33
  5. Step 5: Solve for x
    x = 1,119,410.33/1,277.67
  6. Step 6: Final answer
    x = 876.13

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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.