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Finding the Fourth Proportional to 1,099.74, 1,648.70 and 514.45

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Solution

The fourth proportional to 1,099.74, 1,648.70 and 514.45 is: 771.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,099.74 : 1,648.70 = 514.45 : x
  2. Step 2: Convert to fraction form
    1,099.74/1,648.70 = 514.45/x
  3. Step 3: Cross multiply
    1,099.74x = 1,648.70 × 514.45
  4. Step 4: Simplify right side
    1,099.74x = 848,175.13
  5. Step 5: Solve for x
    x = 848,175.13/1,099.74
  6. Step 6: Final answer
    x = 771.25

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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.