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Finding the Fourth Proportional to 761.57, 1,050.96 and 412.25

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Solution

The fourth proportional to 761.57, 1,050.96 and 412.25 is: 568.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    761.57 : 1,050.96 = 412.25 : x
  2. Step 2: Convert to fraction form
    761.57/1,050.96 = 412.25/x
  3. Step 3: Cross multiply
    761.57x = 1,050.96 × 412.25
  4. Step 4: Simplify right side
    761.57x = 433,256.20
  5. Step 5: Solve for x
    x = 433,256.20/761.57
  6. Step 6: Final answer
    x = 568.90

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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.