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Finding the Fourth Proportional to 894.65, 1,340.30 and 564.87

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Solution

The fourth proportional to 894.65, 1,340.30 and 564.87 is: 846.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    894.65 : 1,340.30 = 564.87 : x
  2. Step 2: Convert to fraction form
    894.65/1,340.30 = 564.87/x
  3. Step 3: Cross multiply
    894.65x = 1,340.30 × 564.87
  4. Step 4: Simplify right side
    894.65x = 757,098.52
  5. Step 5: Solve for x
    x = 757,098.52/894.65
  6. Step 6: Final answer
    x = 846.26

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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.