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Finding the Fourth Proportional to 726.44, 1,089.72 and 590.63

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Solution

The fourth proportional to 726.44, 1,089.72 and 590.63 is: 885.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    726.44 : 1,089.72 = 590.63 : x
  2. Step 2: Convert to fraction form
    726.44/1,089.72 = 590.63/x
  3. Step 3: Cross multiply
    726.44x = 1,089.72 × 590.63
  4. Step 4: Simplify right side
    726.44x = 643,615.88
  5. Step 5: Solve for x
    x = 643,615.88/726.44
  6. Step 6: Final answer
    x = 885.99

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.