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Finding the Fourth Proportional to 1,564.75, 2,159.42 and 866.13

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Solution

The fourth proportional to 1,564.75, 2,159.42 and 866.13 is: 1,195.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,564.75 : 2,159.42 = 866.13 : x
  2. Step 2: Convert to fraction form
    1,564.75/2,159.42 = 866.13/x
  3. Step 3: Cross multiply
    1,564.75x = 2,159.42 × 866.13
  4. Step 4: Simplify right side
    1,564.75x = 1,870,338.44
  5. Step 5: Solve for x
    x = 1,870,338.44/1,564.75
  6. Step 6: Final answer
    x = 1,195.30

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1.5x scale

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.