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Finding the Fourth Proportional to 765.49, 1,056.37 and 416.18

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Solution

The fourth proportional to 765.49, 1,056.37 and 416.18 is: 574.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    765.49 : 1,056.37 = 416.18 : x
  2. Step 2: Convert to fraction form
    765.49/1,056.37 = 416.18/x
  3. Step 3: Cross multiply
    765.49x = 1,056.37 × 416.18
  4. Step 4: Simplify right side
    765.49x = 439,640.07
  5. Step 5: Solve for x
    x = 439,640.07/765.49
  6. Step 6: Final answer
    x = 574.33

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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.