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Finding the Fourth Proportional to 760.99, 1,140.57 and 349.56

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Solution

The fourth proportional to 760.99, 1,140.57 and 349.56 is: 523.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    760.99 : 1,140.57 = 349.56 : x
  2. Step 2: Convert to fraction form
    760.99/1,140.57 = 349.56/x
  3. Step 3: Cross multiply
    760.99x = 1,140.57 × 349.56
  4. Step 4: Simplify right side
    760.99x = 398,690.20
  5. Step 5: Solve for x
    x = 398,690.20/760.99
  6. Step 6: Final answer
    x = 523.91

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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.