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Finding the Fourth Proportional to 765.50, 1,056.42 and 416.21

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Solution

The fourth proportional to 765.50, 1,056.42 and 416.21 is: 574.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    765.50 : 1,056.42 = 416.21 : x
  2. Step 2: Convert to fraction form
    765.50/1,056.42 = 416.21/x
  3. Step 3: Cross multiply
    765.50x = 1,056.42 × 416.21
  4. Step 4: Simplify right side
    765.50x = 439,690.49
  5. Step 5: Solve for x
    x = 439,690.49/765.50
  6. Step 6: Final answer
    x = 574.38

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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.