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Finding the Fourth Proportional to 1,564.77, 2,159.46 and 866.16

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Solution

The fourth proportional to 1,564.77, 2,159.46 and 866.16 is: 1,195.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,564.77 : 2,159.46 = 866.16 : x
  2. Step 2: Convert to fraction form
    1,564.77/2,159.46 = 866.16/x
  3. Step 3: Cross multiply
    1,564.77x = 2,159.46 × 866.16
  4. Step 4: Simplify right side
    1,564.77x = 1,870,437.87
  5. Step 5: Solve for x
    x = 1,870,437.87/1,564.77
  6. Step 6: Final answer
    x = 1,195.34

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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.