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Finding the Fourth Proportional to 761.63, 1,051.69 and 513.77

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Solution

The fourth proportional to 761.63, 1,051.69 and 513.77 is: 709.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    761.63 : 1,051.69 = 513.77 : x
  2. Step 2: Convert to fraction form
    761.63/1,051.69 = 513.77/x
  3. Step 3: Cross multiply
    761.63x = 1,051.69 × 513.77
  4. Step 4: Simplify right side
    761.63x = 540,324.20
  5. Step 5: Solve for x
    x = 540,324.20/761.63
  6. Step 6: Final answer
    x = 709.43

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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.