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Finding the Fourth Proportional to 765.81, 1,056.80 and 416.49

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Solution

The fourth proportional to 765.81, 1,056.80 and 416.49 is: 574.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    765.81 : 1,056.80 = 416.49 : x
  2. Step 2: Convert to fraction form
    765.81/1,056.80 = 416.49/x
  3. Step 3: Cross multiply
    765.81x = 1,056.80 × 416.49
  4. Step 4: Simplify right side
    765.81x = 440,146.63
  5. Step 5: Solve for x
    x = 440,146.63/765.81
  6. Step 6: Final answer
    x = 574.75

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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.