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Finding the Fourth Proportional to 657.64, 984.02 and 541.00

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Solution

The fourth proportional to 657.64, 984.02 and 541.00 is: 809.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    657.64 : 984.02 = 541.00 : x
  2. Step 2: Convert to fraction form
    657.64/984.02 = 541.00/x
  3. Step 3: Cross multiply
    657.64x = 984.02 × 541.00
  4. Step 4: Simplify right side
    657.64x = 532,353.71
  5. Step 5: Solve for x
    x = 532,353.71/657.64
  6. Step 6: Final answer
    x = 809.49

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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.