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Finding the Fourth Proportional to 765.37, 1,056.19 and 416.06

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Solution

The fourth proportional to 765.37, 1,056.19 and 416.06 is: 574.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    765.37 : 1,056.19 = 416.06 : x
  2. Step 2: Convert to fraction form
    765.37/1,056.19 = 416.06/x
  3. Step 3: Cross multiply
    765.37x = 1,056.19 × 416.06
  4. Step 4: Simplify right side
    765.37x = 439,431.05
  5. Step 5: Solve for x
    x = 439,431.05/765.37
  6. Step 6: Final answer
    x = 574.15

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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.