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Finding the Fourth Proportional to 918.39, 1,267.77 and 587.25

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Solution

The fourth proportional to 918.39, 1,267.77 and 587.25 is: 810.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    918.39 : 1,267.77 = 587.25 : x
  2. Step 2: Convert to fraction form
    918.39/1,267.77 = 587.25/x
  3. Step 3: Cross multiply
    918.39x = 1,267.77 × 587.25
  4. Step 4: Simplify right side
    918.39x = 744,497.93
  5. Step 5: Solve for x
    x = 744,497.93/918.39
  6. Step 6: Final answer
    x = 810.66

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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.