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Finding the Fourth Proportional to 807.07, 1,113.73 and 475.52

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Solution

The fourth proportional to 807.07, 1,113.73 and 475.52 is: 656.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    807.07 : 1,113.73 = 475.52 : x
  2. Step 2: Convert to fraction form
    807.07/1,113.73 = 475.52/x
  3. Step 3: Cross multiply
    807.07x = 1,113.73 × 475.52
  4. Step 4: Simplify right side
    807.07x = 529,600.89
  5. Step 5: Solve for x
    x = 529,600.89/807.07
  6. Step 6: Final answer
    x = 656.20

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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.