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Finding the Fourth Proportional to 1,119.33, 1,544.31 and 647.16

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Solution

The fourth proportional to 1,119.33, 1,544.31 and 647.16 is: 892.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,119.33 : 1,544.31 = 647.16 : x
  2. Step 2: Convert to fraction form
    1,119.33/1,544.31 = 647.16/x
  3. Step 3: Cross multiply
    1,119.33x = 1,544.31 × 647.16
  4. Step 4: Simplify right side
    1,119.33x = 999,415.66
  5. Step 5: Solve for x
    x = 999,415.66/1,119.33
  6. Step 6: Final answer
    x = 892.87

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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.