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Finding the Fourth Proportional to 995.10, 1,492.65 and 345.83

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Solution

The fourth proportional to 995.10, 1,492.65 and 345.83 is: 518.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    995.10 : 1,492.65 = 345.83 : x
  2. Step 2: Convert to fraction form
    995.10/1,492.65 = 345.83/x
  3. Step 3: Cross multiply
    995.10x = 1,492.65 × 345.83
  4. Step 4: Simplify right side
    995.10x = 516,203.15
  5. Step 5: Solve for x
    x = 516,203.15/995.10
  6. Step 6: Final answer
    x = 518.75

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.