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Finding the Fourth Proportional to 808.45, 1,115.64 and 525.16

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Solution

The fourth proportional to 808.45, 1,115.64 and 525.16 is: 724.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    808.45 : 1,115.64 = 525.16 : x
  2. Step 2: Convert to fraction form
    808.45/1,115.64 = 525.16/x
  3. Step 3: Cross multiply
    808.45x = 1,115.64 × 525.16
  4. Step 4: Simplify right side
    808.45x = 585,889.50
  5. Step 5: Solve for x
    x = 585,889.50/808.45
  6. Step 6: Final answer
    x = 724.71

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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.