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Finding the Fourth Proportional to 977.74, 1,466.18 and 582.61

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Solution

The fourth proportional to 977.74, 1,466.18 and 582.61 is: 873.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    977.74 : 1,466.18 = 582.61 : x
  2. Step 2: Convert to fraction form
    977.74/1,466.18 = 582.61/x
  3. Step 3: Cross multiply
    977.74x = 1,466.18 × 582.61
  4. Step 4: Simplify right side
    977.74x = 854,211.24
  5. Step 5: Solve for x
    x = 854,211.24/977.74
  6. Step 6: Final answer
    x = 873.65

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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.