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Finding the Fourth Proportional to 761.47, 1,050.83 and 412.16

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Solution

The fourth proportional to 761.47, 1,050.83 and 412.16 is: 568.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    761.47 : 1,050.83 = 412.16 : x
  2. Step 2: Convert to fraction form
    761.47/1,050.83 = 412.16/x
  3. Step 3: Cross multiply
    761.47x = 1,050.83 × 412.16
  4. Step 4: Simplify right side
    761.47x = 433,105.87
  5. Step 5: Solve for x
    x = 433,105.87/761.47
  6. Step 6: Final answer
    x = 568.78

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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.