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Finding the Fourth Proportional to 654.24, 901.80 and 544.08

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Solution

The fourth proportional to 654.24, 901.80 and 544.08 is: 749.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    654.24 : 901.80 = 544.08 : x
  2. Step 2: Convert to fraction form
    654.24/901.80 = 544.08/x
  3. Step 3: Cross multiply
    654.24x = 901.80 × 544.08
  4. Step 4: Simplify right side
    654.24x = 490,651.34
  5. Step 5: Solve for x
    x = 490,651.34/654.24
  6. Step 6: Final answer
    x = 749.96

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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.