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Finding the Fourth Proportional to 1,586.41, 2,378.76 and 720.25

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Solution

The fourth proportional to 1,586.41, 2,378.76 and 720.25 is: 1,079.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,586.41 : 2,378.76 = 720.25 : x
  2. Step 2: Convert to fraction form
    1,586.41/2,378.76 = 720.25/x
  3. Step 3: Cross multiply
    1,586.41x = 2,378.76 × 720.25
  4. Step 4: Simplify right side
    1,586.41x = 1,713,301.89
  5. Step 5: Solve for x
    x = 1,713,301.89/1,586.41
  6. Step 6: Final answer
    x = 1,079.99

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.