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Finding the Fourth Proportional to 768.78, 1,061.01 and 507.33

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Solution

The fourth proportional to 768.78, 1,061.01 and 507.33 is: 700.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    768.78 : 1,061.01 = 507.33 : x
  2. Step 2: Convert to fraction form
    768.78/1,061.01 = 507.33/x
  3. Step 3: Cross multiply
    768.78x = 1,061.01 × 507.33
  4. Step 4: Simplify right side
    768.78x = 538,282.20
  5. Step 5: Solve for x
    x = 538,282.20/768.78
  6. Step 6: Final answer
    x = 700.18

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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.