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Finding the Fourth Proportional to 1,299.54, 1,949.31 and 529.50

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Solution

The fourth proportional to 1,299.54, 1,949.31 and 529.50 is: 794.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,299.54 : 1,949.31 = 529.50 : x
  2. Step 2: Convert to fraction form
    1,299.54/1,949.31 = 529.50/x
  3. Step 3: Cross multiply
    1,299.54x = 1,949.31 × 529.50
  4. Step 4: Simplify right side
    1,299.54x = 1,032,159.65
  5. Step 5: Solve for x
    x = 1,032,159.65/1,299.54
  6. Step 6: Final answer
    x = 794.25

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.