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Finding the Fourth Proportional to 822.08, 1,135.11 and 507.50

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Solution

The fourth proportional to 822.08, 1,135.11 and 507.50 is: 700.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    822.08 : 1,135.11 = 507.50 : x
  2. Step 2: Convert to fraction form
    822.08/1,135.11 = 507.50/x
  3. Step 3: Cross multiply
    822.08x = 1,135.11 × 507.50
  4. Step 4: Simplify right side
    822.08x = 576,062.65
  5. Step 5: Solve for x
    x = 576,062.65/822.08
  6. Step 6: Final answer
    x = 700.74

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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.