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Finding the Fourth Proportional to 895.30, 1,340.87 and 870.71

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Solution

The fourth proportional to 895.30, 1,340.87 and 870.71 is: 1,304.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    895.30 : 1,340.87 = 870.71 : x
  2. Step 2: Convert to fraction form
    895.30/1,340.87 = 870.71/x
  3. Step 3: Cross multiply
    895.30x = 1,340.87 × 870.71
  4. Step 4: Simplify right side
    895.30x = 1,167,497.86
  5. Step 5: Solve for x
    x = 1,167,497.86/895.30
  6. Step 6: Final answer
    x = 1,304.03

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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.