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Finding the Fourth Proportional to 784.49, 1,083.92 and 549.32

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Solution

The fourth proportional to 784.49, 1,083.92 and 549.32 is: 758.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    784.49 : 1,083.92 = 549.32 : x
  2. Step 2: Convert to fraction form
    784.49/1,083.92 = 549.32/x
  3. Step 3: Cross multiply
    784.49x = 1,083.92 × 549.32
  4. Step 4: Simplify right side
    784.49x = 595,410.77
  5. Step 5: Solve for x
    x = 595,410.77/784.49
  6. Step 6: Final answer
    x = 758.98

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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.