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Finding the Fourth Proportional to 760.52, 1,049.52 and 411.21

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Solution

The fourth proportional to 760.52, 1,049.52 and 411.21 is: 567.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    760.52 : 1,049.52 = 411.21 : x
  2. Step 2: Convert to fraction form
    760.52/1,049.52 = 411.21/x
  3. Step 3: Cross multiply
    760.52x = 1,049.52 × 411.21
  4. Step 4: Simplify right side
    760.52x = 431,575.26
  5. Step 5: Solve for x
    x = 431,575.26/760.52
  6. Step 6: Final answer
    x = 567.47

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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.