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Finding the Fourth Proportional to 1,069.04, 1,603.29 and 548.76

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Solution

The fourth proportional to 1,069.04, 1,603.29 and 548.76 is: 823.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,069.04 : 1,603.29 = 548.76 : x
  2. Step 2: Convert to fraction form
    1,069.04/1,603.29 = 548.76/x
  3. Step 3: Cross multiply
    1,069.04x = 1,603.29 × 548.76
  4. Step 4: Simplify right side
    1,069.04x = 879,821.42
  5. Step 5: Solve for x
    x = 879,821.42/1,069.04
  6. Step 6: Final answer
    x = 823.01

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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.