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Finding the Fourth Proportional to 1,508.33, 2,262.56 and 777.71

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Solution

The fourth proportional to 1,508.33, 2,262.56 and 777.71 is: 1,166.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,508.33 : 2,262.56 = 777.71 : x
  2. Step 2: Convert to fraction form
    1,508.33/2,262.56 = 777.71/x
  3. Step 3: Cross multiply
    1,508.33x = 2,262.56 × 777.71
  4. Step 4: Simplify right side
    1,508.33x = 1,759,600.34
  5. Step 5: Solve for x
    x = 1,759,600.34/1,508.33
  6. Step 6: Final answer
    x = 1,166.59

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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.