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Finding the Fourth Proportional to 760.26, 1,139.64 and 390.06

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Solution

The fourth proportional to 760.26, 1,139.64 and 390.06 is: 584.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    760.26 : 1,139.64 = 390.06 : x
  2. Step 2: Convert to fraction form
    760.26/1,139.64 = 390.06/x
  3. Step 3: Cross multiply
    760.26x = 1,139.64 × 390.06
  4. Step 4: Simplify right side
    760.26x = 444,527.98
  5. Step 5: Solve for x
    x = 444,527.98/760.26
  6. Step 6: Final answer
    x = 584.71

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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.