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Finding the Fourth Proportional to 1,624.97, 2,437.49 and 529.33

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Solution

The fourth proportional to 1,624.97, 2,437.49 and 529.33 is: 794.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,624.97 : 2,437.49 = 529.33 : x
  2. Step 2: Convert to fraction form
    1,624.97/2,437.49 = 529.33/x
  3. Step 3: Cross multiply
    1,624.97x = 2,437.49 × 529.33
  4. Step 4: Simplify right side
    1,624.97x = 1,290,236.58
  5. Step 5: Solve for x
    x = 1,290,236.58/1,624.97
  6. Step 6: Final answer
    x = 794.01

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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.