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Finding the Fourth Proportional to 1,564.48, 2,159 and 865.84

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Solution

The fourth proportional to 1,564.48, 2,159 and 865.84 is: 1,194.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,564.48 : 2,159 = 865.84 : x
  2. Step 2: Convert to fraction form
    1,564.48/2,159 = 865.84/x
  3. Step 3: Cross multiply
    1,564.48x = 2,159 × 865.84
  4. Step 4: Simplify right side
    1,564.48x = 1,869,348.56
  5. Step 5: Solve for x
    x = 1,869,348.56/1,564.48
  6. Step 6: Final answer
    x = 1,194.87

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Why These Related Problems?

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