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Finding the Fourth Proportional to 765.85, 1,056.86 and 416.54

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Solution

The fourth proportional to 765.85, 1,056.86 and 416.54 is: 574.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    765.85 : 1,056.86 = 416.54 : x
  2. Step 2: Convert to fraction form
    765.85/1,056.86 = 416.54/x
  3. Step 3: Cross multiply
    765.85x = 1,056.86 × 416.54
  4. Step 4: Simplify right side
    765.85x = 440,220.22
  5. Step 5: Solve for x
    x = 440,220.22/765.85
  6. Step 6: Final answer
    x = 574.81

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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.