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Finding the Fourth Proportional to 664.16, 995.09 and 592.65

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Solution

The fourth proportional to 664.16, 995.09 and 592.65 is: 887.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    664.16 : 995.09 = 592.65 : x
  2. Step 2: Convert to fraction form
    664.16/995.09 = 592.65/x
  3. Step 3: Cross multiply
    664.16x = 995.09 × 592.65
  4. Step 4: Simplify right side
    664.16x = 589,741.32
  5. Step 5: Solve for x
    x = 589,741.32/664.16
  6. Step 6: Final answer
    x = 887.95

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.