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Finding the Fourth Proportional to 895.78, 1,235.36 and 580.71

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Solution

The fourth proportional to 895.78, 1,235.36 and 580.71 is: 800.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    895.78 : 1,235.36 = 580.71 : x
  2. Step 2: Convert to fraction form
    895.78/1,235.36 = 580.71/x
  3. Step 3: Cross multiply
    895.78x = 1,235.36 × 580.71
  4. Step 4: Simplify right side
    895.78x = 717,387.54
  5. Step 5: Solve for x
    x = 717,387.54/895.78
  6. Step 6: Final answer
    x = 800.85

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.