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Finding the Fourth Proportional to 760.62, 1,141.17 and 375.60

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Solution

The fourth proportional to 760.62, 1,141.17 and 375.60 is: 563.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    760.62 : 1,141.17 = 375.60 : x
  2. Step 2: Convert to fraction form
    760.62/1,141.17 = 375.60/x
  3. Step 3: Cross multiply
    760.62x = 1,141.17 × 375.60
  4. Step 4: Simplify right side
    760.62x = 428,623.45
  5. Step 5: Solve for x
    x = 428,623.45/760.62
  6. Step 6: Final answer
    x = 563.52

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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.