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Finding the Fourth Proportional to 1,589.69, 2,385.72 and 603.47

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Solution

The fourth proportional to 1,589.69, 2,385.72 and 603.47 is: 905.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,589.69 : 2,385.72 = 603.47 : x
  2. Step 2: Convert to fraction form
    1,589.69/2,385.72 = 603.47/x
  3. Step 3: Cross multiply
    1,589.69x = 2,385.72 × 603.47
  4. Step 4: Simplify right side
    1,589.69x = 1,439,716.41
  5. Step 5: Solve for x
    x = 1,439,716.41/1,589.69
  6. Step 6: Final answer
    x = 905.66

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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.