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Finding the Fourth Proportional to 1,069.14, 1,475.40 and 603.40

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Solution

The fourth proportional to 1,069.14, 1,475.40 and 603.40 is: 832.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,069.14 : 1,475.40 = 603.40 : x
  2. Step 2: Convert to fraction form
    1,069.14/1,475.40 = 603.40/x
  3. Step 3: Cross multiply
    1,069.14x = 1,475.40 × 603.40
  4. Step 4: Simplify right side
    1,069.14x = 890,256.36
  5. Step 5: Solve for x
    x = 890,256.36/1,069.14
  6. Step 6: Final answer
    x = 832.68

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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.