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Finding the Fourth Proportional to 665.52, 995.28 and 592.84

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Solution

The fourth proportional to 665.52, 995.28 and 592.84 is: 886.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    665.52 : 995.28 = 592.84 : x
  2. Step 2: Convert to fraction form
    665.52/995.28 = 592.84/x
  3. Step 3: Cross multiply
    665.52x = 995.28 × 592.84
  4. Step 4: Simplify right side
    665.52x = 590,041.80
  5. Step 5: Solve for x
    x = 590,041.80/665.52
  6. Step 6: Final answer
    x = 886.59

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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.