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Finding the Fourth Proportional to 1,407.94, 1,943.08 and 818.44

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Solution

The fourth proportional to 1,407.94, 1,943.08 and 818.44 is: 1,129.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,407.94 : 1,943.08 = 818.44 : x
  2. Step 2: Convert to fraction form
    1,407.94/1,943.08 = 818.44/x
  3. Step 3: Cross multiply
    1,407.94x = 1,943.08 × 818.44
  4. Step 4: Simplify right side
    1,407.94x = 1,590,287.49
  5. Step 5: Solve for x
    x = 1,590,287.49/1,407.94
  6. Step 6: Final answer
    x = 1,129.51

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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.