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Finding the Fourth Proportional to 765.84, 1,056.85 and 416.53

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Solution

The fourth proportional to 765.84, 1,056.85 and 416.53 is: 574.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    765.84 : 1,056.85 = 416.53 : x
  2. Step 2: Convert to fraction form
    765.84/1,056.85 = 416.53/x
  3. Step 3: Cross multiply
    765.84x = 1,056.85 × 416.53
  4. Step 4: Simplify right side
    765.84x = 440,209.73
  5. Step 5: Solve for x
    x = 440,209.73/765.84
  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.