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Finding the Fourth Proportional to 806.77, 1,113.24 and 511.93

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Solution

The fourth proportional to 806.77, 1,113.24 and 511.93 is: 706.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    806.77 : 1,113.24 = 511.93 : x
  2. Step 2: Convert to fraction form
    806.77/1,113.24 = 511.93/x
  3. Step 3: Cross multiply
    806.77x = 1,113.24 × 511.93
  4. Step 4: Simplify right side
    806.77x = 569,900.95
  5. Step 5: Solve for x
    x = 569,900.95/806.77
  6. Step 6: Final answer
    x = 706.40

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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.