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Finding the Fourth Proportional to 948.22, 1,308.63 and 594.20

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Solution

The fourth proportional to 948.22, 1,308.63 and 594.20 is: 820.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    948.22 : 1,308.63 = 594.20 : x
  2. Step 2: Convert to fraction form
    948.22/1,308.63 = 594.20/x
  3. Step 3: Cross multiply
    948.22x = 1,308.63 × 594.20
  4. Step 4: Simplify right side
    948.22x = 777,586.25
  5. Step 5: Solve for x
    x = 777,586.25/948.22
  6. Step 6: Final answer
    x = 820.05

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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.