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Finding the Fourth Proportional to 1,069.47, 1,604.07 and 289.53

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Solution

The fourth proportional to 1,069.47, 1,604.07 and 289.53 is: 434.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,069.47 : 1,604.07 = 289.53 : x
  2. Step 2: Convert to fraction form
    1,069.47/1,604.07 = 289.53/x
  3. Step 3: Cross multiply
    1,069.47x = 1,604.07 × 289.53
  4. Step 4: Simplify right side
    1,069.47x = 464,426.39
  5. Step 5: Solve for x
    x = 464,426.39/1,069.47
  6. Step 6: Final answer
    x = 434.26

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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.