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Finding the Fourth Proportional to 822.49, 1,134.91 and 507.88

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Solution

The fourth proportional to 822.49, 1,134.91 and 507.88 is: 700.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    822.49 : 1,134.91 = 507.88 : x
  2. Step 2: Convert to fraction form
    822.49/1,134.91 = 507.88/x
  3. Step 3: Cross multiply
    822.49x = 1,134.91 × 507.88
  4. Step 4: Simplify right side
    822.49x = 576,393.98
  5. Step 5: Solve for x
    x = 576,393.98/822.49
  6. Step 6: Final answer
    x = 700.79

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.