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Finding the Fourth Proportional to 995.77, 1,491.51 and 475

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Solution

The fourth proportional to 995.77, 1,491.51 and 475 is: 711.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    995.77 : 1,491.51 = 475 : x
  2. Step 2: Convert to fraction form
    995.77/1,491.51 = 475/x
  3. Step 3: Cross multiply
    995.77x = 1,491.51 × 475
  4. Step 4: Simplify right side
    995.77x = 708,467.25
  5. Step 5: Solve for x
    x = 708,467.25/995.77
  6. Step 6: Final answer
    x = 711.48

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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.