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Finding the Fourth Proportional to 1,094.76, 1,510.63 and 799.52

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Solution

The fourth proportional to 1,094.76, 1,510.63 and 799.52 is: 1,103.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,094.76 : 1,510.63 = 799.52 : x
  2. Step 2: Convert to fraction form
    1,094.76/1,510.63 = 799.52/x
  3. Step 3: Cross multiply
    1,094.76x = 1,510.63 × 799.52
  4. Step 4: Simplify right side
    1,094.76x = 1,207,778.90
  5. Step 5: Solve for x
    x = 1,207,778.90/1,094.76
  6. Step 6: Final answer
    x = 1,103.24

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.