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Finding the Fourth Proportional to 806.40, 1,208.16 and 549.12

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Solution

The fourth proportional to 806.40, 1,208.16 and 549.12 is: 822.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    806.40 : 1,208.16 = 549.12 : x
  2. Step 2: Convert to fraction form
    806.40/1,208.16 = 549.12/x
  3. Step 3: Cross multiply
    806.40x = 1,208.16 × 549.12
  4. Step 4: Simplify right side
    806.40x = 663,424.82
  5. Step 5: Solve for x
    x = 663,424.82/806.40
  6. Step 6: Final answer
    x = 822.70

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.