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Finding the Fourth Proportional to 995.14, 1,491.50 and 345.12

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Solution

The fourth proportional to 995.14, 1,491.50 and 345.12 is: 517.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    995.14 : 1,491.50 = 345.12 : x
  2. Step 2: Convert to fraction form
    995.14/1,491.50 = 345.12/x
  3. Step 3: Cross multiply
    995.14x = 1,491.50 × 345.12
  4. Step 4: Simplify right side
    995.14x = 514,746.48
  5. Step 5: Solve for x
    x = 514,746.48/995.14
  6. Step 6: Final answer
    x = 517.26

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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.