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Finding the Fourth Proportional to 901.59, 1,244.28 and 528.53

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Solution

The fourth proportional to 901.59, 1,244.28 and 528.53 is: 729.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    901.59 : 1,244.28 = 528.53 : x
  2. Step 2: Convert to fraction form
    901.59/1,244.28 = 528.53/x
  3. Step 3: Cross multiply
    901.59x = 1,244.28 × 528.53
  4. Step 4: Simplify right side
    901.59x = 657,639.31
  5. Step 5: Solve for x
    x = 657,639.31/901.59
  6. Step 6: Final answer
    x = 729.42

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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.