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Finding the Fourth Proportional to 820.49, 1,130.86 and 662.54

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Solution

The fourth proportional to 820.49, 1,130.86 and 662.54 is: 913.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    820.49 : 1,130.86 = 662.54 : x
  2. Step 2: Convert to fraction form
    820.49/1,130.86 = 662.54/x
  3. Step 3: Cross multiply
    820.49x = 1,130.86 × 662.54
  4. Step 4: Simplify right side
    820.49x = 749,232.67
  5. Step 5: Solve for x
    x = 749,232.67/820.49
  6. Step 6: Final answer
    x = 913.16

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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.