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Finding the Fourth Proportional to 768.99, 1,061.10 and 458.49

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Solution

The fourth proportional to 768.99, 1,061.10 and 458.49 is: 632.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    768.99 : 1,061.10 = 458.49 : x
  2. Step 2: Convert to fraction form
    768.99/1,061.10 = 458.49/x
  3. Step 3: Cross multiply
    768.99x = 1,061.10 × 458.49
  4. Step 4: Simplify right side
    768.99x = 486,503.74
  5. Step 5: Solve for x
    x = 486,503.74/768.99
  6. Step 6: Final answer
    x = 632.65

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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.