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Finding the Fourth Proportional to 761.77, 1,050.27 and 512.92

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Solution

The fourth proportional to 761.77, 1,050.27 and 512.92 is: 707.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    761.77 : 1,050.27 = 512.92 : x
  2. Step 2: Convert to fraction form
    761.77/1,050.27 = 512.92/x
  3. Step 3: Cross multiply
    761.77x = 1,050.27 × 512.92
  4. Step 4: Simplify right side
    761.77x = 538,704.49
  5. Step 5: Solve for x
    x = 538,704.49/761.77
  6. Step 6: Final answer
    x = 707.17

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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.