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Finding the Fourth Proportional to 948.16, 1,308.74 and 555.36

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Solution

The fourth proportional to 948.16, 1,308.74 and 555.36 is: 766.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    948.16 : 1,308.74 = 555.36 : x
  2. Step 2: Convert to fraction form
    948.16/1,308.74 = 555.36/x
  3. Step 3: Cross multiply
    948.16x = 1,308.74 × 555.36
  4. Step 4: Simplify right side
    948.16x = 726,821.85
  5. Step 5: Solve for x
    x = 726,821.85/948.16
  6. Step 6: Final answer
    x = 766.56

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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.