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Finding the Fourth Proportional to 665.61, 995.06 and 596.05

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Solution

The fourth proportional to 665.61, 995.06 and 596.05 is: 891.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    665.61 : 995.06 = 596.05 : x
  2. Step 2: Convert to fraction form
    665.61/995.06 = 596.05/x
  3. Step 3: Cross multiply
    665.61x = 995.06 × 596.05
  4. Step 4: Simplify right side
    665.61x = 593,105.51
  5. Step 5: Solve for x
    x = 593,105.51/665.61
  6. Step 6: Final answer
    x = 891.07

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.