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Finding the Fourth Proportional to 995.39, 1,492.63 and 584.72

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Solution

The fourth proportional to 995.39, 1,492.63 and 584.72 is: 876.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    995.39 : 1,492.63 = 584.72 : x
  2. Step 2: Convert to fraction form
    995.39/1,492.63 = 584.72/x
  3. Step 3: Cross multiply
    995.39x = 1,492.63 × 584.72
  4. Step 4: Simplify right side
    995.39x = 872,767.29
  5. Step 5: Solve for x
    x = 872,767.29/995.39
  6. Step 6: Final answer
    x = 876.81

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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.