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Finding the Fourth Proportional to 1,437.86, 2,156.84 and 513.48

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Solution

The fourth proportional to 1,437.86, 2,156.84 and 513.48 is: 770.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,437.86 : 2,156.84 = 513.48 : x
  2. Step 2: Convert to fraction form
    1,437.86/2,156.84 = 513.48/x
  3. Step 3: Cross multiply
    1,437.86x = 2,156.84 × 513.48
  4. Step 4: Simplify right side
    1,437.86x = 1,107,494.20
  5. Step 5: Solve for x
    x = 1,107,494.20/1,437.86
  6. Step 6: Final answer
    x = 770.24

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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.