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Finding the Fourth Proportional to 1,099.40, 1,648.38 and 514.12

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Solution

The fourth proportional to 1,099.40, 1,648.38 and 514.12 is: 770.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,099.40 : 1,648.38 = 514.12 : x
  2. Step 2: Convert to fraction form
    1,099.40/1,648.38 = 514.12/x
  3. Step 3: Cross multiply
    1,099.40x = 1,648.38 × 514.12
  4. Step 4: Simplify right side
    1,099.40x = 847,465.13
  5. Step 5: Solve for x
    x = 847,465.13/1,099.40
  6. Step 6: Final answer
    x = 770.84

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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.