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Finding the Fourth Proportional to 760.79, 1,141.64 and 395.71

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Solution

The fourth proportional to 760.79, 1,141.64 and 395.71 is: 593.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    760.79 : 1,141.64 = 395.71 : x
  2. Step 2: Convert to fraction form
    760.79/1,141.64 = 395.71/x
  3. Step 3: Cross multiply
    760.79x = 1,141.64 × 395.71
  4. Step 4: Simplify right side
    760.79x = 451,758.36
  5. Step 5: Solve for x
    x = 451,758.36/760.79
  6. Step 6: Final answer
    x = 593.80

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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.