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Finding the Fourth Proportional to 1,624.31, 2,435.01 and 584.07

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Solution

The fourth proportional to 1,624.31, 2,435.01 and 584.07 is: 875.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,624.31 : 2,435.01 = 584.07 : x
  2. Step 2: Convert to fraction form
    1,624.31/2,435.01 = 584.07/x
  3. Step 3: Cross multiply
    1,624.31x = 2,435.01 × 584.07
  4. Step 4: Simplify right side
    1,624.31x = 1,422,216.29
  5. Step 5: Solve for x
    x = 1,422,216.29/1,624.31
  6. Step 6: Final answer
    x = 875.58

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