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Finding the Fourth Proportional to 948.47, 1,308.90 and 528.83

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Solution

The fourth proportional to 948.47, 1,308.90 and 528.83 is: 729.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    948.47 : 1,308.90 = 528.83 : x
  2. Step 2: Convert to fraction form
    948.47/1,308.90 = 528.83/x
  3. Step 3: Cross multiply
    948.47x = 1,308.90 × 528.83
  4. Step 4: Simplify right side
    948.47x = 692,185.59
  5. Step 5: Solve for x
    x = 692,185.59/948.47
  6. Step 6: Final answer
    x = 729.79

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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.