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Finding the Fourth Proportional to 1,073.93, 1,610.08 and 552.76

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Solution

The fourth proportional to 1,073.93, 1,610.08 and 552.76 is: 828.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,073.93 : 1,610.08 = 552.76 : x
  2. Step 2: Convert to fraction form
    1,073.93/1,610.08 = 552.76/x
  3. Step 3: Cross multiply
    1,073.93x = 1,610.08 × 552.76
  4. Step 4: Simplify right side
    1,073.93x = 889,982.41
  5. Step 5: Solve for x
    x = 889,982.41/1,073.93
  6. Step 6: Final answer
    x = 828.72

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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.