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Finding the Fourth Proportional to 1,069.47, 1,603.93 and 452.86

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Solution

The fourth proportional to 1,069.47, 1,603.93 and 452.86 is: 679.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,069.47 : 1,603.93 = 452.86 : x
  2. Step 2: Convert to fraction form
    1,069.47/1,603.93 = 452.86/x
  3. Step 3: Cross multiply
    1,069.47x = 1,603.93 × 452.86
  4. Step 4: Simplify right side
    1,069.47x = 726,350.17
  5. Step 5: Solve for x
    x = 726,350.17/1,069.47
  6. Step 6: Final answer
    x = 679.17

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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.