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Finding the Fourth Proportional to 732.06, 1,012.16 and 603.27

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Solution

The fourth proportional to 732.06, 1,012.16 and 603.27 is: 834.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    732.06 : 1,012.16 = 603.27 : x
  2. Step 2: Convert to fraction form
    732.06/1,012.16 = 603.27/x
  3. Step 3: Cross multiply
    732.06x = 1,012.16 × 603.27
  4. Step 4: Simplify right side
    732.06x = 610,607.27
  5. Step 5: Solve for x
    x = 610,607.27/732.06
  6. Step 6: Final answer
    x = 834.09

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.