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Finding the Fourth Proportional to 806.70, 1,113.10 and 511.77

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Solution

The fourth proportional to 806.70, 1,113.10 and 511.77 is: 706.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    806.70 : 1,113.10 = 511.77 : x
  2. Step 2: Convert to fraction form
    806.70/1,113.10 = 511.77/x
  3. Step 3: Cross multiply
    806.70x = 1,113.10 × 511.77
  4. Step 4: Simplify right side
    806.70x = 569,651.19
  5. Step 5: Solve for x
    x = 569,651.19/806.70
  6. Step 6: Final answer
    x = 706.15

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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.