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Finding the Fourth Proportional to 761.60, 1,051.01 and 412.29

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Solution

The fourth proportional to 761.60, 1,051.01 and 412.29 is: 568.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    761.60 : 1,051.01 = 412.29 : x
  2. Step 2: Convert to fraction form
    761.60/1,051.01 = 412.29/x
  3. Step 3: Cross multiply
    761.60x = 1,051.01 × 412.29
  4. Step 4: Simplify right side
    761.60x = 433,321.94
  5. Step 5: Solve for x
    x = 433,321.94/761.60
  6. Step 6: Final answer
    x = 568.96

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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.