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Finding the Fourth Proportional to 1,455.55, 2,008.55 and 865.97

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Solution

The fourth proportional to 1,455.55, 2,008.55 and 865.97 is: 1,194.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,455.55 : 2,008.55 = 865.97 : x
  2. Step 2: Convert to fraction form
    1,455.55/2,008.55 = 865.97/x
  3. Step 3: Cross multiply
    1,455.55x = 2,008.55 × 865.97
  4. Step 4: Simplify right side
    1,455.55x = 1,739,339.71
  5. Step 5: Solve for x
    x = 1,739,339.71/1,455.55
  6. Step 6: Final answer
    x = 1,194.97

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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.