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Finding the Fourth Proportional to 1,437.74, 2,156.99 and 513.39

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Solution

The fourth proportional to 1,437.74, 2,156.99 and 513.39 is: 770.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,437.74 : 2,156.99 = 513.39 : x
  2. Step 2: Convert to fraction form
    1,437.74/2,156.99 = 513.39/x
  3. Step 3: Cross multiply
    1,437.74x = 2,156.99 × 513.39
  4. Step 4: Simplify right side
    1,437.74x = 1,107,371.25
  5. Step 5: Solve for x
    x = 1,107,371.25/1,437.74
  6. Step 6: Final answer
    x = 770.22

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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.