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Finding the Fourth Proportional to 1,586.34, 2,380.68 and 600.06

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Solution

The fourth proportional to 1,586.34, 2,380.68 and 600.06 is: 900.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,586.34 : 2,380.68 = 600.06 : x
  2. Step 2: Convert to fraction form
    1,586.34/2,380.68 = 600.06/x
  3. Step 3: Cross multiply
    1,586.34x = 2,380.68 × 600.06
  4. Step 4: Simplify right side
    1,586.34x = 1,428,550.84
  5. Step 5: Solve for x
    x = 1,428,550.84/1,586.34
  6. Step 6: Final answer
    x = 900.53

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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.