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Finding the Fourth Proportional to 844.93, 1,165.25 and 530.23

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Solution

The fourth proportional to 844.93, 1,165.25 and 530.23 is: 731.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    844.93 : 1,165.25 = 530.23 : x
  2. Step 2: Convert to fraction form
    844.93/1,165.25 = 530.23/x
  3. Step 3: Cross multiply
    844.93x = 1,165.25 × 530.23
  4. Step 4: Simplify right side
    844.93x = 617,844.94
  5. Step 5: Solve for x
    x = 617,844.94/844.93
  6. Step 6: Final answer
    x = 731.24

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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.