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Finding the Fourth Proportional to 806.19, 1,113.11 and 507.57

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Solution

The fourth proportional to 806.19, 1,113.11 and 507.57 is: 700.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    806.19 : 1,113.11 = 507.57 : x
  2. Step 2: Convert to fraction form
    806.19/1,113.11 = 507.57/x
  3. Step 3: Cross multiply
    806.19x = 1,113.11 × 507.57
  4. Step 4: Simplify right side
    806.19x = 564,978.70
  5. Step 5: Solve for x
    x = 564,978.70/806.19
  6. Step 6: Final answer
    x = 700.80

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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.