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Finding the Fourth Proportional to 1,455.86, 2,008.42 and 866.06

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Solution

The fourth proportional to 1,455.86, 2,008.42 and 866.06 is: 1,194.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,455.86 : 2,008.42 = 866.06 : x
  2. Step 2: Convert to fraction form
    1,455.86/2,008.42 = 866.06/x
  3. Step 3: Cross multiply
    1,455.86x = 2,008.42 × 866.06
  4. Step 4: Simplify right side
    1,455.86x = 1,739,412.23
  5. Step 5: Solve for x
    x = 1,739,412.23/1,455.86
  6. Step 6: Final answer
    x = 1,194.77

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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.