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Finding the Fourth Proportional to 769.18, 1,061.40 and 507.16

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Solution

The fourth proportional to 769.18, 1,061.40 and 507.16 is: 699.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    769.18 : 1,061.40 = 507.16 : x
  2. Step 2: Convert to fraction form
    769.18/1,061.40 = 507.16/x
  3. Step 3: Cross multiply
    769.18x = 1,061.40 × 507.16
  4. Step 4: Simplify right side
    769.18x = 538,299.62
  5. Step 5: Solve for x
    x = 538,299.62/769.18
  6. Step 6: Final answer
    x = 699.84

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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.