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Finding the Fourth Proportional to 760.20, 1,140.38 and 247.08

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Solution

The fourth proportional to 760.20, 1,140.38 and 247.08 is: 370.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    760.20 : 1,140.38 = 247.08 : x
  2. Step 2: Convert to fraction form
    760.20/1,140.38 = 247.08/x
  3. Step 3: Cross multiply
    760.20x = 1,140.38 × 247.08
  4. Step 4: Simplify right side
    760.20x = 281,765.09
  5. Step 5: Solve for x
    x = 281,765.09/760.20
  6. Step 6: Final answer
    x = 370.65

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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.