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Finding the Fourth Proportional to 760.33, 1,049.10 and 445.51

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Solution

The fourth proportional to 760.33, 1,049.10 and 445.51 is: 614.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    760.33 : 1,049.10 = 445.51 : x
  2. Step 2: Convert to fraction form
    760.33/1,049.10 = 445.51/x
  3. Step 3: Cross multiply
    760.33x = 1,049.10 × 445.51
  4. Step 4: Simplify right side
    760.33x = 467,384.54
  5. Step 5: Solve for x
    x = 467,384.54/760.33
  6. Step 6: Final answer
    x = 614.71

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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.