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Finding the Fourth Proportional to 1,069.14, 1,475.55 and 603.48

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Solution

The fourth proportional to 1,069.14, 1,475.55 and 603.48 is: 832.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,069.14 : 1,475.55 = 603.48 : x
  2. Step 2: Convert to fraction form
    1,069.14/1,475.55 = 603.48/x
  3. Step 3: Cross multiply
    1,069.14x = 1,475.55 × 603.48
  4. Step 4: Simplify right side
    1,069.14x = 890,464.91
  5. Step 5: Solve for x
    x = 890,464.91/1,069.14
  6. Step 6: Final answer
    x = 832.88

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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.