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Finding the Fourth Proportional to 1,479.44, 2,041.75 and 816.42

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Solution

The fourth proportional to 1,479.44, 2,041.75 and 816.42 is: 1,126.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,479.44 : 2,041.75 = 816.42 : x
  2. Step 2: Convert to fraction form
    1,479.44/2,041.75 = 816.42/x
  3. Step 3: Cross multiply
    1,479.44x = 2,041.75 × 816.42
  4. Step 4: Simplify right side
    1,479.44x = 1,666,925.54
  5. Step 5: Solve for x
    x = 1,666,925.54/1,479.44
  6. Step 6: Final answer
    x = 1,126.73

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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.