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Finding the Fourth Proportional to 1,521.06, 2,279.86 and 778.59

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Solution

The fourth proportional to 1,521.06, 2,279.86 and 778.59 is: 1,167.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,521.06 : 2,279.86 = 778.59 : x
  2. Step 2: Convert to fraction form
    1,521.06/2,279.86 = 778.59/x
  3. Step 3: Cross multiply
    1,521.06x = 2,279.86 × 778.59
  4. Step 4: Simplify right side
    1,521.06x = 1,775,076.20
  5. Step 5: Solve for x
    x = 1,775,076.20/1,521.06
  6. Step 6: Final answer
    x = 1,167.00

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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.