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Finding the Fourth Proportional to 760.02, 1,138.22 and 388.92

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Solution

The fourth proportional to 760.02, 1,138.22 and 388.92 is: 582.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    760.02 : 1,138.22 = 388.92 : x
  2. Step 2: Convert to fraction form
    760.02/1,138.22 = 388.92/x
  3. Step 3: Cross multiply
    760.02x = 1,138.22 × 388.92
  4. Step 4: Simplify right side
    760.02x = 442,674.58
  5. Step 5: Solve for x
    x = 442,674.58/760.02
  6. Step 6: Final answer
    x = 582.45

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.