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Finding the Fourth Proportional to 1,069.76, 1,603.91 and 549.11

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Solution

The fourth proportional to 1,069.76, 1,603.91 and 549.11 is: 823.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,069.76 : 1,603.91 = 549.11 : x
  2. Step 2: Convert to fraction form
    1,069.76/1,603.91 = 549.11/x
  3. Step 3: Cross multiply
    1,069.76x = 1,603.91 × 549.11
  4. Step 4: Simplify right side
    1,069.76x = 880,716.37
  5. Step 5: Solve for x
    x = 880,716.37/1,069.76
  6. Step 6: Final answer
    x = 823.29

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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.