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Finding the Fourth Proportional to 995.29, 1,492.80 and 345.94

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Solution

The fourth proportional to 995.29, 1,492.80 and 345.94 is: 518.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    995.29 : 1,492.80 = 345.94 : x
  2. Step 2: Convert to fraction form
    995.29/1,492.80 = 345.94/x
  3. Step 3: Cross multiply
    995.29x = 1,492.80 × 345.94
  4. Step 4: Simplify right side
    995.29x = 516,419.23
  5. Step 5: Solve for x
    x = 516,419.23/995.29
  6. Step 6: Final answer
    x = 518.86

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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.