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Finding the Fourth Proportional to 897.15, 1,237.89 and 504.15

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Solution

The fourth proportional to 897.15, 1,237.89 and 504.15 is: 695.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    897.15 : 1,237.89 = 504.15 : x
  2. Step 2: Convert to fraction form
    897.15/1,237.89 = 504.15/x
  3. Step 3: Cross multiply
    897.15x = 1,237.89 × 504.15
  4. Step 4: Simplify right side
    897.15x = 624,082.24
  5. Step 5: Solve for x
    x = 624,082.24/897.15
  6. Step 6: Final answer
    x = 695.63

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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.