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Finding the Fourth Proportional to 767.93, 1,152.32 and 460.40

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Solution

The fourth proportional to 767.93, 1,152.32 and 460.40 is: 690.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    767.93 : 1,152.32 = 460.40 : x
  2. Step 2: Convert to fraction form
    767.93/1,152.32 = 460.40/x
  3. Step 3: Cross multiply
    767.93x = 1,152.32 × 460.40
  4. Step 4: Simplify right side
    767.93x = 530,520.06
  5. Step 5: Solve for x
    x = 530,520.06/767.93
  6. Step 6: Final answer
    x = 690.85

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Why These Related Problems?

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