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Finding the Fourth Proportional to 664.83, 995.40 and 502.02

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Solution

The fourth proportional to 664.83, 995.40 and 502.02 is: 751.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    664.83 : 995.40 = 502.02 : x
  2. Step 2: Convert to fraction form
    664.83/995.40 = 502.02/x
  3. Step 3: Cross multiply
    664.83x = 995.40 × 502.02
  4. Step 4: Simplify right side
    664.83x = 499,710.71
  5. Step 5: Solve for x
    x = 499,710.71/664.83
  6. Step 6: Final answer
    x = 751.64

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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.