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Finding the Fourth Proportional to 1,407.54, 1,942.68 and 818.06

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Solution

The fourth proportional to 1,407.54, 1,942.68 and 818.06 is: 1,129.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,407.54 : 1,942.68 = 818.06 : x
  2. Step 2: Convert to fraction form
    1,407.54/1,942.68 = 818.06/x
  3. Step 3: Cross multiply
    1,407.54x = 1,942.68 × 818.06
  4. Step 4: Simplify right side
    1,407.54x = 1,589,228.80
  5. Step 5: Solve for x
    x = 1,589,228.80/1,407.54
  6. Step 6: Final answer
    x = 1,129.08

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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.