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Finding the Fourth Proportional to 760.22, 1,141.54 and 575.14

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Solution

The fourth proportional to 760.22, 1,141.54 and 575.14 is: 863.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    760.22 : 1,141.54 = 575.14 : x
  2. Step 2: Convert to fraction form
    760.22/1,141.54 = 575.14/x
  3. Step 3: Cross multiply
    760.22x = 1,141.54 × 575.14
  4. Step 4: Simplify right side
    760.22x = 656,545.32
  5. Step 5: Solve for x
    x = 656,545.32/760.22
  6. Step 6: Final answer
    x = 863.63

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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.