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Finding the Fourth Proportional to 760.37, 1,049.30 and 411.05

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Solution

The fourth proportional to 760.37, 1,049.30 and 411.05 is: 567.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    760.37 : 1,049.30 = 411.05 : x
  2. Step 2: Convert to fraction form
    760.37/1,049.30 = 411.05/x
  3. Step 3: Cross multiply
    760.37x = 1,049.30 × 411.05
  4. Step 4: Simplify right side
    760.37x = 431,318.42
  5. Step 5: Solve for x
    x = 431,318.42/760.37
  6. Step 6: Final answer
    x = 567.25

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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.