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Finding the Fourth Proportional to 760.47, 1,141.05 and 321.84

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Solution

The fourth proportional to 760.47, 1,141.05 and 321.84 is: 482.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    760.47 : 1,141.05 = 321.84 : x
  2. Step 2: Convert to fraction form
    760.47/1,141.05 = 321.84/x
  3. Step 3: Cross multiply
    760.47x = 1,141.05 × 321.84
  4. Step 4: Simplify right side
    760.47x = 367,235.53
  5. Step 5: Solve for x
    x = 367,235.53/760.47
  6. Step 6: Final answer
    x = 482.91

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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.