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Finding the Fourth Proportional to 1,065.24, 1,592.55 and 805.23

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Solution

The fourth proportional to 1,065.24, 1,592.55 and 805.23 is: 1,203.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,065.24 : 1,592.55 = 805.23 : x
  2. Step 2: Convert to fraction form
    1,065.24/1,592.55 = 805.23/x
  3. Step 3: Cross multiply
    1,065.24x = 1,592.55 × 805.23
  4. Step 4: Simplify right side
    1,065.24x = 1,282,369.04
  5. Step 5: Solve for x
    x = 1,282,369.04/1,065.24
  6. Step 6: Final answer
    x = 1,203.83

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.