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Finding the Fourth Proportional to 761.13, 1,049.13 and 512.37

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Solution

The fourth proportional to 761.13, 1,049.13 and 512.37 is: 706.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    761.13 : 1,049.13 = 512.37 : x
  2. Step 2: Convert to fraction form
    761.13/1,049.13 = 512.37/x
  3. Step 3: Cross multiply
    761.13x = 1,049.13 × 512.37
  4. Step 4: Simplify right side
    761.13x = 537,542.74
  5. Step 5: Solve for x
    x = 537,542.74/761.13
  6. Step 6: Final answer
    x = 706.24

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.