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Finding the Fourth Proportional to 779.80, 1,076.16 and 500.28

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Solution

The fourth proportional to 779.80, 1,076.16 and 500.28 is: 690.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    779.80 : 1,076.16 = 500.28 : x
  2. Step 2: Convert to fraction form
    779.80/1,076.16 = 500.28/x
  3. Step 3: Cross multiply
    779.80x = 1,076.16 × 500.28
  4. Step 4: Simplify right side
    779.80x = 538,381.32
  5. Step 5: Solve for x
    x = 538,381.32/779.80
  6. Step 6: Final answer
    x = 690.41

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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.