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Finding the Fourth Proportional to 767.93, 1,152.29 and 460.38

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Solution

The fourth proportional to 767.93, 1,152.29 and 460.38 is: 690.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    767.93 : 1,152.29 = 460.38 : x
  2. Step 2: Convert to fraction form
    767.93/1,152.29 = 460.38/x
  3. Step 3: Cross multiply
    767.93x = 1,152.29 × 460.38
  4. Step 4: Simplify right side
    767.93x = 530,496.74
  5. Step 5: Solve for x
    x = 530,496.74/767.93
  6. Step 6: Final answer
    x = 690.82

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.