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Finding the Fourth Proportional to 726.04, 1,089.06 and 315.16

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Solution

The fourth proportional to 726.04, 1,089.06 and 315.16 is: 472.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    726.04 : 1,089.06 = 315.16 : x
  2. Step 2: Convert to fraction form
    726.04/1,089.06 = 315.16/x
  3. Step 3: Cross multiply
    726.04x = 1,089.06 × 315.16
  4. Step 4: Simplify right side
    726.04x = 343,228.15
  5. Step 5: Solve for x
    x = 343,228.15/726.04
  6. Step 6: Final answer
    x = 472.74

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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.