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Finding the Fourth Proportional to 1,099.05, 1,648.32 and 318.87

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Solution

The fourth proportional to 1,099.05, 1,648.32 and 318.87 is: 478.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,099.05 : 1,648.32 = 318.87 : x
  2. Step 2: Convert to fraction form
    1,099.05/1,648.32 = 318.87/x
  3. Step 3: Cross multiply
    1,099.05x = 1,648.32 × 318.87
  4. Step 4: Simplify right side
    1,099.05x = 525,598.60
  5. Step 5: Solve for x
    x = 525,598.60/1,099.05
  6. Step 6: Final answer
    x = 478.23

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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.