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Finding the Fourth Proportional to 761.74, 1,051.21 and 412.43

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Solution

The fourth proportional to 761.74, 1,051.21 and 412.43 is: 569.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    761.74 : 1,051.21 = 412.43 : x
  2. Step 2: Convert to fraction form
    761.74/1,051.21 = 412.43/x
  3. Step 3: Cross multiply
    761.74x = 1,051.21 × 412.43
  4. Step 4: Simplify right side
    761.74x = 433,546.11
  5. Step 5: Solve for x
    x = 433,546.11/761.74
  6. Step 6: Final answer
    x = 569.15

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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.