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Finding the Fourth Proportional to 760.17, 1,140.06 and 212.32

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Solution

The fourth proportional to 760.17, 1,140.06 and 212.32 is: 318.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    760.17 : 1,140.06 = 212.32 : x
  2. Step 2: Convert to fraction form
    760.17/1,140.06 = 212.32/x
  3. Step 3: Cross multiply
    760.17x = 1,140.06 × 212.32
  4. Step 4: Simplify right side
    760.17x = 242,057.54
  5. Step 5: Solve for x
    x = 242,057.54/760.17
  6. Step 6: Final answer
    x = 318.43

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.