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Finding the Fourth Proportional to 822.30, 1,134.25 and 507.66

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Solution

The fourth proportional to 822.30, 1,134.25 and 507.66 is: 700.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    822.30 : 1,134.25 = 507.66 : x
  2. Step 2: Convert to fraction form
    822.30/1,134.25 = 507.66/x
  3. Step 3: Cross multiply
    822.30x = 1,134.25 × 507.66
  4. Step 4: Simplify right side
    822.30x = 575,813.36
  5. Step 5: Solve for x
    x = 575,813.36/822.30
  6. Step 6: Final answer
    x = 700.25

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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.