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Finding the Fourth Proportional to 995.74, 1,493.62 and 346.48

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Solution

The fourth proportional to 995.74, 1,493.62 and 346.48 is: 519.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    995.74 : 1,493.62 = 346.48 : x
  2. Step 2: Convert to fraction form
    995.74/1,493.62 = 346.48/x
  3. Step 3: Cross multiply
    995.74x = 1,493.62 × 346.48
  4. Step 4: Simplify right side
    995.74x = 517,509.46
  5. Step 5: Solve for x
    x = 517,509.46/995.74
  6. Step 6: Final answer
    x = 519.72

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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.