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Finding the Fourth Proportional to 650.40, 975.36 and 552.87

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Solution

The fourth proportional to 650.40, 975.36 and 552.87 is: 829.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    650.40 : 975.36 = 552.87 : x
  2. Step 2: Convert to fraction form
    650.40/975.36 = 552.87/x
  3. Step 3: Cross multiply
    650.40x = 975.36 × 552.87
  4. Step 4: Simplify right side
    650.40x = 539,247.28
  5. Step 5: Solve for x
    x = 539,247.28/650.40
  6. Step 6: Final answer
    x = 829.10

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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.