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Finding the Fourth Proportional to 1,426.04, 1,967.98 and 805.08

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Solution

The fourth proportional to 1,426.04, 1,967.98 and 805.08 is: 1,111.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,426.04 : 1,967.98 = 805.08 : x
  2. Step 2: Convert to fraction form
    1,426.04/1,967.98 = 805.08/x
  3. Step 3: Cross multiply
    1,426.04x = 1,967.98 × 805.08
  4. Step 4: Simplify right side
    1,426.04x = 1,584,381.34
  5. Step 5: Solve for x
    x = 1,584,381.34/1,426.04
  6. Step 6: Final answer
    x = 1,111.04

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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.