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Finding the Fourth Proportional to 650.66, 899.04 and 511.88

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Solution

The fourth proportional to 650.66, 899.04 and 511.88 is: 707.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    650.66 : 899.04 = 511.88 : x
  2. Step 2: Convert to fraction form
    650.66/899.04 = 511.88/x
  3. Step 3: Cross multiply
    650.66x = 899.04 × 511.88
  4. Step 4: Simplify right side
    650.66x = 460,196.10
  5. Step 5: Solve for x
    x = 460,196.10/650.66
  6. Step 6: Final answer
    x = 707.28

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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.