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Finding the Fourth Proportional to 799.34, 1,102.64 and 504.50

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Solution

The fourth proportional to 799.34, 1,102.64 and 504.50 is: 695.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    799.34 : 1,102.64 = 504.50 : x
  2. Step 2: Convert to fraction form
    799.34/1,102.64 = 504.50/x
  3. Step 3: Cross multiply
    799.34x = 1,102.64 × 504.50
  4. Step 4: Simplify right side
    799.34x = 556,281.88
  5. Step 5: Solve for x
    x = 556,281.88/799.34
  6. Step 6: Final answer
    x = 695.93

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.