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Finding the Fourth Proportional to 806.69, 1,112.94 and 475.00

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Solution

The fourth proportional to 806.69, 1,112.94 and 475.00 is: 655.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    806.69 : 1,112.94 = 475.00 : x
  2. Step 2: Convert to fraction form
    806.69/1,112.94 = 475.00/x
  3. Step 3: Cross multiply
    806.69x = 1,112.94 × 475.00
  4. Step 4: Simplify right side
    806.69x = 528,643.72
  5. Step 5: Solve for x
    x = 528,643.72/806.69
  6. Step 6: Final answer
    x = 655.32

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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.