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Finding the Fourth Proportional to 948.55, 1,309.02 and 523.20

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Solution

The fourth proportional to 948.55, 1,309.02 and 523.20 is: 722.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    948.55 : 1,309.02 = 523.20 : x
  2. Step 2: Convert to fraction form
    948.55/1,309.02 = 523.20/x
  3. Step 3: Cross multiply
    948.55x = 1,309.02 × 523.20
  4. Step 4: Simplify right side
    948.55x = 684,879.26
  5. Step 5: Solve for x
    x = 684,879.26/948.55
  6. Step 6: Final answer
    x = 722.03

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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.