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Finding the Fourth Proportional to 995.51, 1,493.51 and 346.25

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Solution

The fourth proportional to 995.51, 1,493.51 and 346.25 is: 519.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    995.51 : 1,493.51 = 346.25 : x
  2. Step 2: Convert to fraction form
    995.51/1,493.51 = 346.25/x
  3. Step 3: Cross multiply
    995.51x = 1,493.51 × 346.25
  4. Step 4: Simplify right side
    995.51x = 517,118.64
  5. Step 5: Solve for x
    x = 517,118.64/995.51
  6. Step 6: Final answer
    x = 519.45

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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.