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Finding the Fourth Proportional to 650.61, 896.91 and 510.18

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Solution

The fourth proportional to 650.61, 896.91 and 510.18 is: 703.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    650.61 : 896.91 = 510.18 : x
  2. Step 2: Convert to fraction form
    650.61/896.91 = 510.18/x
  3. Step 3: Cross multiply
    650.61x = 896.91 × 510.18
  4. Step 4: Simplify right side
    650.61x = 457,585.54
  5. Step 5: Solve for x
    x = 457,585.54/650.61
  6. Step 6: Final answer
    x = 703.32

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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.