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Finding the Fourth Proportional to 650.40, 896.56 and 510.22

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Solution

The fourth proportional to 650.40, 896.56 and 510.22 is: 703.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    650.40 : 896.56 = 510.22 : x
  2. Step 2: Convert to fraction form
    650.40/896.56 = 510.22/x
  3. Step 3: Cross multiply
    650.40x = 896.56 × 510.22
  4. Step 4: Simplify right side
    650.40x = 457,442.84
  5. Step 5: Solve for x
    x = 457,442.84/650.40
  6. Step 6: Final answer
    x = 703.33

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.