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Finding the Fourth Proportional to 1,395.47, 1,926.03 and 805.92

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Solution

The fourth proportional to 1,395.47, 1,926.03 and 805.92 is: 1,112.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,395.47 : 1,926.03 = 805.92 : x
  2. Step 2: Convert to fraction form
    1,395.47/1,926.03 = 805.92/x
  3. Step 3: Cross multiply
    1,395.47x = 1,926.03 × 805.92
  4. Step 4: Simplify right side
    1,395.47x = 1,552,226.10
  5. Step 5: Solve for x
    x = 1,552,226.10/1,395.47
  6. Step 6: Final answer
    x = 1,112.33

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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.