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Finding the Fourth Proportional to 760.49, 1,049.47 and 411.17

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Solution

The fourth proportional to 760.49, 1,049.47 and 411.17 is: 567.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    760.49 : 1,049.47 = 411.17 : x
  2. Step 2: Convert to fraction form
    760.49/1,049.47 = 411.17/x
  3. Step 3: Cross multiply
    760.49x = 1,049.47 × 411.17
  4. Step 4: Simplify right side
    760.49x = 431,513.20
  5. Step 5: Solve for x
    x = 431,513.20/760.49
  6. Step 6: Final answer
    x = 567.42

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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.