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Finding the Fourth Proportional to 650.61, 973.64 and 533.61

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Solution

The fourth proportional to 650.61, 973.64 and 533.61 is: 798.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    650.61 : 973.64 = 533.61 : x
  2. Step 2: Convert to fraction form
    650.61/973.64 = 533.61/x
  3. Step 3: Cross multiply
    650.61x = 973.64 × 533.61
  4. Step 4: Simplify right side
    650.61x = 519,541.37
  5. Step 5: Solve for x
    x = 519,541.37/650.61
  6. Step 6: Final answer
    x = 798.55

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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.