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Finding the Fourth Proportional to 901.25, 1,243.78 and 503.00

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Solution

The fourth proportional to 901.25, 1,243.78 and 503.00 is: 694.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    901.25 : 1,243.78 = 503.00 : x
  2. Step 2: Convert to fraction form
    901.25/1,243.78 = 503.00/x
  3. Step 3: Cross multiply
    901.25x = 1,243.78 × 503.00
  4. Step 4: Simplify right side
    901.25x = 625,618.53
  5. Step 5: Solve for x
    x = 625,618.53/901.25
  6. Step 6: Final answer
    x = 694.17

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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.