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Finding the Fourth Proportional to 760.56, 1,142.04 and 624.48

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Solution

The fourth proportional to 760.56, 1,142.04 and 624.48 is: 937.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    760.56 : 1,142.04 = 624.48 : x
  2. Step 2: Convert to fraction form
    760.56/1,142.04 = 624.48/x
  3. Step 3: Cross multiply
    760.56x = 1,142.04 × 624.48
  4. Step 4: Simplify right side
    760.56x = 713,181.14
  5. Step 5: Solve for x
    x = 713,181.14/760.56
  6. Step 6: Final answer
    x = 937.71

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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.