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Finding the Fourth Proportional to 654, 901.80 and 537.36

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Solution

The fourth proportional to 654, 901.80 and 537.36 is: 740.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    654 : 901.80 = 537.36 : x
  2. Step 2: Convert to fraction form
    654/901.80 = 537.36/x
  3. Step 3: Cross multiply
    654x = 901.80 × 537.36
  4. Step 4: Simplify right side
    654x = 484,591.25
  5. Step 5: Solve for x
    x = 484,591.25/654
  6. Step 6: Final answer
    x = 740.97

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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.