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Finding the Fourth Proportional to 1,749.70, 2,623.03 and 654.07

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Solution

The fourth proportional to 1,749.70, 2,623.03 and 654.07 is: 980.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,749.70 : 2,623.03 = 654.07 : x
  2. Step 2: Convert to fraction form
    1,749.70/2,623.03 = 654.07/x
  3. Step 3: Cross multiply
    1,749.70x = 2,623.03 × 654.07
  4. Step 4: Simplify right side
    1,749.70x = 1,715,641.96
  5. Step 5: Solve for x
    x = 1,715,641.96/1,749.70
  6. Step 6: Final answer
    x = 980.54

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.