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Finding the Fourth Proportional to 1,455.68, 2,009.26 and 866.62

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Solution

The fourth proportional to 1,455.68, 2,009.26 and 866.62 is: 1,196.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,455.68 : 2,009.26 = 866.62 : x
  2. Step 2: Convert to fraction form
    1,455.68/2,009.26 = 866.62/x
  3. Step 3: Cross multiply
    1,455.68x = 2,009.26 × 866.62
  4. Step 4: Simplify right side
    1,455.68x = 1,741,264.90
  5. Step 5: Solve for x
    x = 1,741,264.90/1,455.68
  6. Step 6: Final answer
    x = 1,196.19

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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.