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Finding the Fourth Proportional to 828.56, 1,142.88 and 607.52

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Solution

The fourth proportional to 828.56, 1,142.88 and 607.52 is: 837.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    828.56 : 1,142.88 = 607.52 : x
  2. Step 2: Convert to fraction form
    828.56/1,142.88 = 607.52/x
  3. Step 3: Cross multiply
    828.56x = 1,142.88 × 607.52
  4. Step 4: Simplify right side
    828.56x = 694,322.46
  5. Step 5: Solve for x
    x = 694,322.46/828.56
  6. Step 6: Final answer
    x = 837.99

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.