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Finding the Fourth Proportional to 896.51, 1,237.14 and 503.53

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Solution

The fourth proportional to 896.51, 1,237.14 and 503.53 is: 694.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    896.51 : 1,237.14 = 503.53 : x
  2. Step 2: Convert to fraction form
    896.51/1,237.14 = 503.53/x
  3. Step 3: Cross multiply
    896.51x = 1,237.14 × 503.53
  4. Step 4: Simplify right side
    896.51x = 622,934.01
  5. Step 5: Solve for x
    x = 622,934.01/896.51
  6. Step 6: Final answer
    x = 694.84

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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.