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Finding the Fourth Proportional to 895.87, 1,343.81 and 589.66

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Solution

The fourth proportional to 895.87, 1,343.81 and 589.66 is: 884.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    895.87 : 1,343.81 = 589.66 : x
  2. Step 2: Convert to fraction form
    895.87/1,343.81 = 589.66/x
  3. Step 3: Cross multiply
    895.87x = 1,343.81 × 589.66
  4. Step 4: Simplify right side
    895.87x = 792,391.00
  5. Step 5: Solve for x
    x = 792,391.00/895.87
  6. Step 6: Final answer
    x = 884.49

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.