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Finding the Fourth Proportional to 650.04, 973.35 and 513.36

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Solution

The fourth proportional to 650.04, 973.35 and 513.36 is: 768.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    650.04 : 973.35 = 513.36 : x
  2. Step 2: Convert to fraction form
    650.04/973.35 = 513.36/x
  3. Step 3: Cross multiply
    650.04x = 973.35 × 513.36
  4. Step 4: Simplify right side
    650.04x = 499,678.96
  5. Step 5: Solve for x
    x = 499,678.96/650.04
  6. Step 6: Final answer
    x = 768.69

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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.