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Finding the Fourth Proportional to 1,266.79, 1,747.76 and 707.17

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Solution

The fourth proportional to 1,266.79, 1,747.76 and 707.17 is: 975.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,266.79 : 1,747.76 = 707.17 : x
  2. Step 2: Convert to fraction form
    1,266.79/1,747.76 = 707.17/x
  3. Step 3: Cross multiply
    1,266.79x = 1,747.76 × 707.17
  4. Step 4: Simplify right side
    1,266.79x = 1,235,951.16
  5. Step 5: Solve for x
    x = 1,235,951.16/1,266.79
  6. Step 6: Final answer
    x = 975.66

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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.