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Finding the Fourth Proportional to 901.94, 1,244.65 and 503.60

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Solution

The fourth proportional to 901.94, 1,244.65 and 503.60 is: 694.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    901.94 : 1,244.65 = 503.60 : x
  2. Step 2: Convert to fraction form
    901.94/1,244.65 = 503.60/x
  3. Step 3: Cross multiply
    901.94x = 1,244.65 × 503.60
  4. Step 4: Simplify right side
    901.94x = 626,805.74
  5. Step 5: Solve for x
    x = 626,805.74/901.94
  6. Step 6: Final answer
    x = 694.95

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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.