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Finding the Fourth Proportional to 760.29, 1,049.11 and 445.32

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Solution

The fourth proportional to 760.29, 1,049.11 and 445.32 is: 614.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    760.29 : 1,049.11 = 445.32 : x
  2. Step 2: Convert to fraction form
    760.29/1,049.11 = 445.32/x
  3. Step 3: Cross multiply
    760.29x = 1,049.11 × 445.32
  4. Step 4: Simplify right side
    760.29x = 467,188.55
  5. Step 5: Solve for x
    x = 467,188.55/760.29
  6. Step 6: Final answer
    x = 614.49

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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.