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Finding the Fourth Proportional to 948.51, 1,308.92 and 575.42

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Solution

The fourth proportional to 948.51, 1,308.92 and 575.42 is: 794.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    948.51 : 1,308.92 = 575.42 : x
  2. Step 2: Convert to fraction form
    948.51/1,308.92 = 575.42/x
  3. Step 3: Cross multiply
    948.51x = 1,308.92 × 575.42
  4. Step 4: Simplify right side
    948.51x = 753,169.32
  5. Step 5: Solve for x
    x = 753,169.32/948.51
  6. Step 6: Final answer
    x = 794.06

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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.