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Finding the Fourth Proportional to 653.52, 984 and 573.36

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Solution

The fourth proportional to 653.52, 984 and 573.36 is: 863.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    653.52 : 984 = 573.36 : x
  2. Step 2: Convert to fraction form
    653.52/984 = 573.36/x
  3. Step 3: Cross multiply
    653.52x = 984 × 573.36
  4. Step 4: Simplify right side
    653.52x = 564,186.24
  5. Step 5: Solve for x
    x = 564,186.24/653.52
  6. Step 6: Final answer
    x = 863.30

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.