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Finding the Fourth Proportional to 897.08, 1,238.04 and 504.14

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Solution

The fourth proportional to 897.08, 1,238.04 and 504.14 is: 695.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    897.08 : 1,238.04 = 504.14 : x
  2. Step 2: Convert to fraction form
    897.08/1,238.04 = 504.14/x
  3. Step 3: Cross multiply
    897.08x = 1,238.04 × 504.14
  4. Step 4: Simplify right side
    897.08x = 624,145.49
  5. Step 5: Solve for x
    x = 624,145.49/897.08
  6. Step 6: Final answer
    x = 695.75

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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.