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Finding the Fourth Proportional to 1,266.42, 1,747.54 and 706.71

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Solution

The fourth proportional to 1,266.42, 1,747.54 and 706.71 is: 975.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,266.42 : 1,747.54 = 706.71 : x
  2. Step 2: Convert to fraction form
    1,266.42/1,747.54 = 706.71/x
  3. Step 3: Cross multiply
    1,266.42x = 1,747.54 × 706.71
  4. Step 4: Simplify right side
    1,266.42x = 1,235,003.99
  5. Step 5: Solve for x
    x = 1,235,003.99/1,266.42
  6. Step 6: Final answer
    x = 975.19

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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.