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Finding the Fourth Proportional to 1,266.62, 1,748.75 and 795.16

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Solution

The fourth proportional to 1,266.62, 1,748.75 and 795.16 is: 1,097.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,266.62 : 1,748.75 = 795.16 : x
  2. Step 2: Convert to fraction form
    1,266.62/1,748.75 = 795.16/x
  3. Step 3: Cross multiply
    1,266.62x = 1,748.75 × 795.16
  4. Step 4: Simplify right side
    1,266.62x = 1,390,536.05
  5. Step 5: Solve for x
    x = 1,390,536.05/1,266.62
  6. Step 6: Final answer
    x = 1,097.83

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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.