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Finding the Fourth Proportional to 806.04, 1,206.36 and 708.48

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Solution

The fourth proportional to 806.04, 1,206.36 and 708.48 is: 1,060.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    806.04 : 1,206.36 = 708.48 : x
  2. Step 2: Convert to fraction form
    806.04/1,206.36 = 708.48/x
  3. Step 3: Cross multiply
    806.04x = 1,206.36 × 708.48
  4. Step 4: Simplify right side
    806.04x = 854,681.93
  5. Step 5: Solve for x
    x = 854,681.93/806.04
  6. Step 6: Final answer
    x = 1,060.35

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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.