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Finding the Fourth Proportional to 1,040.54, 1,436.40 and 647.82

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Solution

The fourth proportional to 1,040.54, 1,436.40 and 647.82 is: 894.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,040.54 : 1,436.40 = 647.82 : x
  2. Step 2: Convert to fraction form
    1,040.54/1,436.40 = 647.82/x
  3. Step 3: Cross multiply
    1,040.54x = 1,436.40 × 647.82
  4. Step 4: Simplify right side
    1,040.54x = 930,528.65
  5. Step 5: Solve for x
    x = 930,528.65/1,040.54
  6. Step 6: Final answer
    x = 894.28

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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.