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Finding the Fourth Proportional to 1,624.29, 2,435.62 and 528.51

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Solution

The fourth proportional to 1,624.29, 2,435.62 and 528.51 is: 792.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,624.29 : 2,435.62 = 528.51 : x
  2. Step 2: Convert to fraction form
    1,624.29/2,435.62 = 528.51/x
  3. Step 3: Cross multiply
    1,624.29x = 2,435.62 × 528.51
  4. Step 4: Simplify right side
    1,624.29x = 1,287,249.53
  5. Step 5: Solve for x
    x = 1,287,249.53/1,624.29
  6. Step 6: Final answer
    x = 792.50

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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.