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Finding the Fourth Proportional to 681.84, 1,024.16 and 579.28

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Solution

The fourth proportional to 681.84, 1,024.16 and 579.28 is: 870.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    681.84 : 1,024.16 = 579.28 : x
  2. Step 2: Convert to fraction form
    681.84/1,024.16 = 579.28/x
  3. Step 3: Cross multiply
    681.84x = 1,024.16 × 579.28
  4. Step 4: Simplify right side
    681.84x = 593,275.40
  5. Step 5: Solve for x
    x = 593,275.40/681.84
  6. Step 6: Final answer
    x = 870.11

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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.