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Finding the Fourth Proportional to 765.24, 1,056.01 and 415.92

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Solution

The fourth proportional to 765.24, 1,056.01 and 415.92 is: 573.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    765.24 : 1,056.01 = 415.92 : x
  2. Step 2: Convert to fraction form
    765.24/1,056.01 = 415.92/x
  3. Step 3: Cross multiply
    765.24x = 1,056.01 × 415.92
  4. Step 4: Simplify right side
    765.24x = 439,215.68
  5. Step 5: Solve for x
    x = 439,215.68/765.24
  6. Step 6: Final answer
    x = 573.96

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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.