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Finding the Fourth Proportional to 1,266.45, 1,747.65 and 706.92

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Solution

The fourth proportional to 1,266.45, 1,747.65 and 706.92 is: 975.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,266.45 : 1,747.65 = 706.92 : x
  2. Step 2: Convert to fraction form
    1,266.45/1,747.65 = 706.92/x
  3. Step 3: Cross multiply
    1,266.45x = 1,747.65 × 706.92
  4. Step 4: Simplify right side
    1,266.45x = 1,235,448.74
  5. Step 5: Solve for x
    x = 1,235,448.74/1,266.45
  6. Step 6: Final answer
    x = 975.52

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.