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Finding the Fourth Proportional to 929.80, 1,283.24 and 556.78

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Solution

The fourth proportional to 929.80, 1,283.24 and 556.78 is: 768.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    929.80 : 1,283.24 = 556.78 : x
  2. Step 2: Convert to fraction form
    929.80/1,283.24 = 556.78/x
  3. Step 3: Cross multiply
    929.80x = 1,283.24 × 556.78
  4. Step 4: Simplify right side
    929.80x = 714,482.37
  5. Step 5: Solve for x
    x = 714,482.37/929.80
  6. Step 6: Final answer
    x = 768.43

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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.