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Finding the Fourth Proportional to 826.84, 1,140.78 and 512.16

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Solution

The fourth proportional to 826.84, 1,140.78 and 512.16 is: 706.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    826.84 : 1,140.78 = 512.16 : x
  2. Step 2: Convert to fraction form
    826.84/1,140.78 = 512.16/x
  3. Step 3: Cross multiply
    826.84x = 1,140.78 × 512.16
  4. Step 4: Simplify right side
    826.84x = 584,261.88
  5. Step 5: Solve for x
    x = 584,261.88/826.84
  6. Step 6: Final answer
    x = 706.62

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.