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Finding the Fourth Proportional to 703.04, 971.24 and 599.19

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Solution

The fourth proportional to 703.04, 971.24 and 599.19 is: 827.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    703.04 : 971.24 = 599.19 : x
  2. Step 2: Convert to fraction form
    703.04/971.24 = 599.19/x
  3. Step 3: Cross multiply
    703.04x = 971.24 × 599.19
  4. Step 4: Simplify right side
    703.04x = 581,954.30
  5. Step 5: Solve for x
    x = 581,954.30/703.04
  6. Step 6: Final answer
    x = 827.77

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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.