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Finding the Fourth Proportional to 948.86, 1,309.43 and 555.78

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Solution

The fourth proportional to 948.86, 1,309.43 and 555.78 is: 766.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    948.86 : 1,309.43 = 555.78 : x
  2. Step 2: Convert to fraction form
    948.86/1,309.43 = 555.78/x
  3. Step 3: Cross multiply
    948.86x = 1,309.43 × 555.78
  4. Step 4: Simplify right side
    948.86x = 727,755.01
  5. Step 5: Solve for x
    x = 727,755.01/948.86
  6. Step 6: Final answer
    x = 766.98

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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.