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Finding the Fourth Proportional to 918.52, 1,268.98 and 709.54

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Solution

The fourth proportional to 918.52, 1,268.98 and 709.54 is: 980.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    918.52 : 1,268.98 = 709.54 : x
  2. Step 2: Convert to fraction form
    918.52/1,268.98 = 709.54/x
  3. Step 3: Cross multiply
    918.52x = 1,268.98 × 709.54
  4. Step 4: Simplify right side
    918.52x = 900,392.07
  5. Step 5: Solve for x
    x = 900,392.07/918.52
  6. Step 6: Final answer
    x = 980.26

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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.