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Finding the Fourth Proportional to 760.64, 1,138.11 and 515.96

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Solution

The fourth proportional to 760.64, 1,138.11 and 515.96 is: 772.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    760.64 : 1,138.11 = 515.96 : x
  2. Step 2: Convert to fraction form
    760.64/1,138.11 = 515.96/x
  3. Step 3: Cross multiply
    760.64x = 1,138.11 × 515.96
  4. Step 4: Simplify right side
    760.64x = 587,219.24
  5. Step 5: Solve for x
    x = 587,219.24/760.64
  6. Step 6: Final answer
    x = 772.01

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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.