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Finding the Fourth Proportional to 1,586.78, 2,380.29 and 491.14

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Solution

The fourth proportional to 1,586.78, 2,380.29 and 491.14 is: 736.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,586.78 : 2,380.29 = 491.14 : x
  2. Step 2: Convert to fraction form
    1,586.78/2,380.29 = 491.14/x
  3. Step 3: Cross multiply
    1,586.78x = 2,380.29 × 491.14
  4. Step 4: Simplify right side
    1,586.78x = 1,169,041.27
  5. Step 5: Solve for x
    x = 1,169,041.27/1,586.78
  6. Step 6: Final answer
    x = 736.74

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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.