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Finding the Fourth Proportional to 948.40, 1,308.12 and 555.50

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Solution

The fourth proportional to 948.40, 1,308.12 and 555.50 is: 766.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    948.40 : 1,308.12 = 555.50 : x
  2. Step 2: Convert to fraction form
    948.40/1,308.12 = 555.50/x
  3. Step 3: Cross multiply
    948.40x = 1,308.12 × 555.50
  4. Step 4: Simplify right side
    948.40x = 726,660.66
  5. Step 5: Solve for x
    x = 726,660.66/948.40
  6. Step 6: Final answer
    x = 766.20

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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.