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Finding the Fourth Proportional to 1,069.31, 1,603.72 and 289.38

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Solution

The fourth proportional to 1,069.31, 1,603.72 and 289.38 is: 434.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,069.31 : 1,603.72 = 289.38 : x
  2. Step 2: Convert to fraction form
    1,069.31/1,603.72 = 289.38/x
  3. Step 3: Cross multiply
    1,069.31x = 1,603.72 × 289.38
  4. Step 4: Simplify right side
    1,069.31x = 464,087.17
  5. Step 5: Solve for x
    x = 464,087.17/1,069.31
  6. Step 6: Final answer
    x = 434.01

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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.