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Finding the Fourth Proportional to 662.64, 992.68 and 510.32

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Solution

The fourth proportional to 662.64, 992.68 and 510.32 is: 764.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    662.64 : 992.68 = 510.32 : x
  2. Step 2: Convert to fraction form
    662.64/992.68 = 510.32/x
  3. Step 3: Cross multiply
    662.64x = 992.68 × 510.32
  4. Step 4: Simplify right side
    662.64x = 506,584.46
  5. Step 5: Solve for x
    x = 506,584.46/662.64
  6. Step 6: Final answer
    x = 764.49

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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.