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Finding the Fourth Proportional to 995.82, 1,489.68 and 560.58

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Solution

The fourth proportional to 995.82, 1,489.68 and 560.58 is: 838.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    995.82 : 1,489.68 = 560.58 : x
  2. Step 2: Convert to fraction form
    995.82/1,489.68 = 560.58/x
  3. Step 3: Cross multiply
    995.82x = 1,489.68 × 560.58
  4. Step 4: Simplify right side
    995.82x = 835,084.81
  5. Step 5: Solve for x
    x = 835,084.81/995.82
  6. Step 6: Final answer
    x = 838.59

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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.