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Finding the Fourth Proportional to 895.41, 1,342.70 and 582.75

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Solution

The fourth proportional to 895.41, 1,342.70 and 582.75 is: 873.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    895.41 : 1,342.70 = 582.75 : x
  2. Step 2: Convert to fraction form
    895.41/1,342.70 = 582.75/x
  3. Step 3: Cross multiply
    895.41x = 1,342.70 × 582.75
  4. Step 4: Simplify right side
    895.41x = 782,448.80
  5. Step 5: Solve for x
    x = 782,448.80/895.41
  6. Step 6: Final answer
    x = 873.85

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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.