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Finding the Fourth Proportional to 803.36, 1,108.14 and 747.80

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Solution

The fourth proportional to 803.36, 1,108.14 and 747.80 is: 1,031.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    803.36 : 1,108.14 = 747.80 : x
  2. Step 2: Convert to fraction form
    803.36/1,108.14 = 747.80/x
  3. Step 3: Cross multiply
    803.36x = 1,108.14 × 747.80
  4. Step 4: Simplify right side
    803.36x = 828,667.09
  5. Step 5: Solve for x
    x = 828,667.09/803.36
  6. Step 6: Final answer
    x = 1,031.50

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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.