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Finding the Fourth Proportional to 1,099.08, 1,648.29 and 598.68

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Solution

The fourth proportional to 1,099.08, 1,648.29 and 598.68 is: 897.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,099.08 : 1,648.29 = 598.68 : x
  2. Step 2: Convert to fraction form
    1,099.08/1,648.29 = 598.68/x
  3. Step 3: Cross multiply
    1,099.08x = 1,648.29 × 598.68
  4. Step 4: Simplify right side
    1,099.08x = 986,790.02
  5. Step 5: Solve for x
    x = 986,790.02/1,099.08
  6. Step 6: Final answer
    x = 897.83

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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.