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Finding the Fourth Proportional to 1,069.17, 1,475.39 and 603.33

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Solution

The fourth proportional to 1,069.17, 1,475.39 and 603.33 is: 832.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,069.17 : 1,475.39 = 603.33 : x
  2. Step 2: Convert to fraction form
    1,069.17/1,475.39 = 603.33/x
  3. Step 3: Cross multiply
    1,069.17x = 1,475.39 × 603.33
  4. Step 4: Simplify right side
    1,069.17x = 890,144.03
  5. Step 5: Solve for x
    x = 890,144.03/1,069.17
  6. Step 6: Final answer
    x = 832.56

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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.