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Finding the Fourth Proportional to 650.35, 974.05 and 503.06

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Solution

The fourth proportional to 650.35, 974.05 and 503.06 is: 753.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    650.35 : 974.05 = 503.06 : x
  2. Step 2: Convert to fraction form
    650.35/974.05 = 503.06/x
  3. Step 3: Cross multiply
    650.35x = 974.05 × 503.06
  4. Step 4: Simplify right side
    650.35x = 490,003.08
  5. Step 5: Solve for x
    x = 490,003.08/650.35
  6. Step 6: Final answer
    x = 753.45

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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.