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Finding the Fourth Proportional to 1,319.88, 1,821.45 and 795.81

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Solution

The fourth proportional to 1,319.88, 1,821.45 and 795.81 is: 1,098.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,319.88 : 1,821.45 = 795.81 : x
  2. Step 2: Convert to fraction form
    1,319.88/1,821.45 = 795.81/x
  3. Step 3: Cross multiply
    1,319.88x = 1,821.45 × 795.81
  4. Step 4: Simplify right side
    1,319.88x = 1,449,528.12
  5. Step 5: Solve for x
    x = 1,449,528.12/1,319.88
  6. Step 6: Final answer
    x = 1,098.23

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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.