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Finding the Fourth Proportional to 901.70, 1,244.35 and 503.35

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Solution

The fourth proportional to 901.70, 1,244.35 and 503.35 is: 694.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    901.70 : 1,244.35 = 503.35 : x
  2. Step 2: Convert to fraction form
    901.70/1,244.35 = 503.35/x
  3. Step 3: Cross multiply
    901.70x = 1,244.35 × 503.35
  4. Step 4: Simplify right side
    901.70x = 626,343.57
  5. Step 5: Solve for x
    x = 626,343.57/901.70
  6. Step 6: Final answer
    x = 694.63

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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.