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Finding the Fourth Proportional to 918.26, 1,379.10 and 788.48

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Solution

The fourth proportional to 918.26, 1,379.10 and 788.48 is: 1,184.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    918.26 : 1,379.10 = 788.48 : x
  2. Step 2: Convert to fraction form
    918.26/1,379.10 = 788.48/x
  3. Step 3: Cross multiply
    918.26x = 1,379.10 × 788.48
  4. Step 4: Simplify right side
    918.26x = 1,087,392.77
  5. Step 5: Solve for x
    x = 1,087,392.77/918.26
  6. Step 6: Final answer
    x = 1,184.19

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.