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Finding the Fourth Proportional to 912, 1,365.84 and 805.44

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Solution

The fourth proportional to 912, 1,365.84 and 805.44 is: 1,206.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    912 : 1,365.84 = 805.44 : x
  2. Step 2: Convert to fraction form
    912/1,365.84 = 805.44/x
  3. Step 3: Cross multiply
    912x = 1,365.84 × 805.44
  4. Step 4: Simplify right side
    912x = 1,100,102.17
  5. Step 5: Solve for x
    x = 1,100,102.17/912
  6. Step 6: Final answer
    x = 1,206.25

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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.