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Finding the Fourth Proportional to 1,089.28, 1,635.12 and 603.52

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Solution

The fourth proportional to 1,089.28, 1,635.12 and 603.52 is: 905.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,089.28 : 1,635.12 = 603.52 : x
  2. Step 2: Convert to fraction form
    1,089.28/1,635.12 = 603.52/x
  3. Step 3: Cross multiply
    1,089.28x = 1,635.12 × 603.52
  4. Step 4: Simplify right side
    1,089.28x = 986,827.62
  5. Step 5: Solve for x
    x = 986,827.62/1,089.28
  6. Step 6: Final answer
    x = 905.94

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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.