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Finding the Fourth Proportional to 995.29, 1,492.43 and 584.55

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Solution

The fourth proportional to 995.29, 1,492.43 and 584.55 is: 876.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    995.29 : 1,492.43 = 584.55 : x
  2. Step 2: Convert to fraction form
    995.29/1,492.43 = 584.55/x
  3. Step 3: Cross multiply
    995.29x = 1,492.43 × 584.55
  4. Step 4: Simplify right side
    995.29x = 872,397.03
  5. Step 5: Solve for x
    x = 872,397.03/995.29
  6. Step 6: Final answer
    x = 876.53

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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.