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Finding the Fourth Proportional to 898.40, 1,349.52 and 866

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Solution

The fourth proportional to 898.40, 1,349.52 and 866 is: 1,300.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    898.40 : 1,349.52 = 866 : x
  2. Step 2: Convert to fraction form
    898.40/1,349.52 = 866/x
  3. Step 3: Cross multiply
    898.40x = 1,349.52 × 866
  4. Step 4: Simplify right side
    898.40x = 1,168,684.32
  5. Step 5: Solve for x
    x = 1,168,684.32/898.40
  6. Step 6: Final answer
    x = 1,300.85

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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.