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Finding the Fourth Proportional to 1,426, 1,968.04 and 805.04

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Solution

The fourth proportional to 1,426, 1,968.04 and 805.04 is: 1,111.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,426 : 1,968.04 = 805.04 : x
  2. Step 2: Convert to fraction form
    1,426/1,968.04 = 805.04/x
  3. Step 3: Cross multiply
    1,426x = 1,968.04 × 805.04
  4. Step 4: Simplify right side
    1,426x = 1,584,350.92
  5. Step 5: Solve for x
    x = 1,584,350.92/1,426
  6. Step 6: Final answer
    x = 1,111.05

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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.