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Finding the Fourth Proportional to 767.84, 1,152.16 and 586.40

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Solution

The fourth proportional to 767.84, 1,152.16 and 586.40 is: 879.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    767.84 : 1,152.16 = 586.40 : x
  2. Step 2: Convert to fraction form
    767.84/1,152.16 = 586.40/x
  3. Step 3: Cross multiply
    767.84x = 1,152.16 × 586.40
  4. Step 4: Simplify right side
    767.84x = 675,626.62
  5. Step 5: Solve for x
    x = 675,626.62/767.84
  6. Step 6: Final answer
    x = 879.91

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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.