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Finding the Fourth Proportional to 1,424.46, 1,965.78 and 795.03

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Solution

The fourth proportional to 1,424.46, 1,965.78 and 795.03 is: 1,097.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,424.46 : 1,965.78 = 795.03 : x
  2. Step 2: Convert to fraction form
    1,424.46/1,965.78 = 795.03/x
  3. Step 3: Cross multiply
    1,424.46x = 1,965.78 × 795.03
  4. Step 4: Simplify right side
    1,424.46x = 1,562,854.07
  5. Step 5: Solve for x
    x = 1,562,854.07/1,424.46
  6. Step 6: Final answer
    x = 1,097.16

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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.