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Finding the Fourth Proportional to 760.47, 1,140.77 and 344.26

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Solution

The fourth proportional to 760.47, 1,140.77 and 344.26 is: 516.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    760.47 : 1,140.77 = 344.26 : x
  2. Step 2: Convert to fraction form
    760.47/1,140.77 = 344.26/x
  3. Step 3: Cross multiply
    760.47x = 1,140.77 × 344.26
  4. Step 4: Simplify right side
    760.47x = 392,721.48
  5. Step 5: Solve for x
    x = 392,721.48/760.47
  6. Step 6: Final answer
    x = 516.42

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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.