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Finding the Fourth Proportional to 972.06, 1,456.44 and 586.50

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Solution

The fourth proportional to 972.06, 1,456.44 and 586.50 is: 878.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    972.06 : 1,456.44 = 586.50 : x
  2. Step 2: Convert to fraction form
    972.06/1,456.44 = 586.50/x
  3. Step 3: Cross multiply
    972.06x = 1,456.44 × 586.50
  4. Step 4: Simplify right side
    972.06x = 854,202.06
  5. Step 5: Solve for x
    x = 854,202.06/972.06
  6. Step 6: Final answer
    x = 878.75

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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.