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Finding the Fourth Proportional to 948.52, 1,308.74 and 575.34

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Solution

The fourth proportional to 948.52, 1,308.74 and 575.34 is: 793.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    948.52 : 1,308.74 = 575.34 : x
  2. Step 2: Convert to fraction form
    948.52/1,308.74 = 575.34/x
  3. Step 3: Cross multiply
    948.52x = 1,308.74 × 575.34
  4. Step 4: Simplify right side
    948.52x = 752,970.47
  5. Step 5: Solve for x
    x = 752,970.47/948.52
  6. Step 6: Final answer
    x = 793.84

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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.