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Finding the Fourth Proportional to 765.41, 1,056.26 and 416.10

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Solution

The fourth proportional to 765.41, 1,056.26 and 416.10 is: 574.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    765.41 : 1,056.26 = 416.10 : x
  2. Step 2: Convert to fraction form
    765.41/1,056.26 = 416.10/x
  3. Step 3: Cross multiply
    765.41x = 1,056.26 × 416.10
  4. Step 4: Simplify right side
    765.41x = 439,509.79
  5. Step 5: Solve for x
    x = 439,509.79/765.41
  6. Step 6: Final answer
    x = 574.21

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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.