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Finding the Fourth Proportional to 798.50, 1,102.26 and 529.31

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Solution

The fourth proportional to 798.50, 1,102.26 and 529.31 is: 730.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    798.50 : 1,102.26 = 529.31 : x
  2. Step 2: Convert to fraction form
    798.50/1,102.26 = 529.31/x
  3. Step 3: Cross multiply
    798.50x = 1,102.26 × 529.31
  4. Step 4: Simplify right side
    798.50x = 583,437.24
  5. Step 5: Solve for x
    x = 583,437.24/798.50
  6. Step 6: Final answer
    x = 730.67

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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.