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Finding the Fourth Proportional to 765.42, 1,056.29 and 416.11

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Solution

The fourth proportional to 765.42, 1,056.29 and 416.11 is: 574.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    765.42 : 1,056.29 = 416.11 : x
  2. Step 2: Convert to fraction form
    765.42/1,056.29 = 416.11/x
  3. Step 3: Cross multiply
    765.42x = 1,056.29 × 416.11
  4. Step 4: Simplify right side
    765.42x = 439,532.83
  5. Step 5: Solve for x
    x = 439,532.83/765.42
  6. Step 6: Final answer
    x = 574.24

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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.