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Finding the Fourth Proportional to 918.46, 1,268.00 and 564.52

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Solution

The fourth proportional to 918.46, 1,268.00 and 564.52 is: 779.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    918.46 : 1,268.00 = 564.52 : x
  2. Step 2: Convert to fraction form
    918.46/1,268.00 = 564.52/x
  3. Step 3: Cross multiply
    918.46x = 1,268.00 × 564.52
  4. Step 4: Simplify right side
    918.46x = 715,813.04
  5. Step 5: Solve for x
    x = 715,813.04/918.46
  6. Step 6: Final answer
    x = 779.36

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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.