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Finding the Fourth Proportional to 995.56, 1,492.88 and 584.84

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Solution

The fourth proportional to 995.56, 1,492.88 and 584.84 is: 876.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    995.56 : 1,492.88 = 584.84 : x
  2. Step 2: Convert to fraction form
    995.56/1,492.88 = 584.84/x
  3. Step 3: Cross multiply
    995.56x = 1,492.88 × 584.84
  4. Step 4: Simplify right side
    995.56x = 873,095.94
  5. Step 5: Solve for x
    x = 873,095.94/995.56
  6. Step 6: Final answer
    x = 876.99

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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.