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Finding the Fourth Proportional to 1,069.14, 1,603.68 and 289.20

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Solution

The fourth proportional to 1,069.14, 1,603.68 and 289.20 is: 433.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,069.14 : 1,603.68 = 289.20 : x
  2. Step 2: Convert to fraction form
    1,069.14/1,603.68 = 289.20/x
  3. Step 3: Cross multiply
    1,069.14x = 1,603.68 × 289.20
  4. Step 4: Simplify right side
    1,069.14x = 463,784.26
  5. Step 5: Solve for x
    x = 463,784.26/1,069.14
  6. Step 6: Final answer
    x = 433.79

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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.