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Finding the Fourth Proportional to 918.59, 1,266.78 and 708.42

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Solution

The fourth proportional to 918.59, 1,266.78 and 708.42 is: 976.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    918.59 : 1,266.78 = 708.42 : x
  2. Step 2: Convert to fraction form
    918.59/1,266.78 = 708.42/x
  3. Step 3: Cross multiply
    918.59x = 1,266.78 × 708.42
  4. Step 4: Simplify right side
    918.59x = 897,412.29
  5. Step 5: Solve for x
    x = 897,412.29/918.59
  6. Step 6: Final answer
    x = 976.95

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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.