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Finding the Fourth Proportional to 765.57, 1,056.49 and 416.26

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Solution

The fourth proportional to 765.57, 1,056.49 and 416.26 is: 574.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    765.57 : 1,056.49 = 416.26 : x
  2. Step 2: Convert to fraction form
    765.57/1,056.49 = 416.26/x
  3. Step 3: Cross multiply
    765.57x = 1,056.49 × 416.26
  4. Step 4: Simplify right side
    765.57x = 439,774.53
  5. Step 5: Solve for x
    x = 439,774.53/765.57
  6. Step 6: Final answer
    x = 574.44

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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.