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Finding the Fourth Proportional to 1,394.66, 1,924.22 and 805.10

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Solution

The fourth proportional to 1,394.66, 1,924.22 and 805.10 is: 1,110.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,394.66 : 1,924.22 = 805.10 : x
  2. Step 2: Convert to fraction form
    1,394.66/1,924.22 = 805.10/x
  3. Step 3: Cross multiply
    1,394.66x = 1,924.22 × 805.10
  4. Step 4: Simplify right side
    1,394.66x = 1,549,181.91
  5. Step 5: Solve for x
    x = 1,549,181.91/1,394.66
  6. Step 6: Final answer
    x = 1,110.79

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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.