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Finding the Fourth Proportional to 760.20, 1,140.12 and 516.66

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Solution

The fourth proportional to 760.20, 1,140.12 and 516.66 is: 774.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    760.20 : 1,140.12 = 516.66 : x
  2. Step 2: Convert to fraction form
    760.20/1,140.12 = 516.66/x
  3. Step 3: Cross multiply
    760.20x = 1,140.12 × 516.66
  4. Step 4: Simplify right side
    760.20x = 589,054.40
  5. Step 5: Solve for x
    x = 589,054.40/760.20
  6. Step 6: Final answer
    x = 774.87

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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.