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Finding the Fourth Proportional to 1,626.23, 2,439.09 and 530.59

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Solution

The fourth proportional to 1,626.23, 2,439.09 and 530.59 is: 795.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,626.23 : 2,439.09 = 530.59 : x
  2. Step 2: Convert to fraction form
    1,626.23/2,439.09 = 530.59/x
  3. Step 3: Cross multiply
    1,626.23x = 2,439.09 × 530.59
  4. Step 4: Simplify right side
    1,626.23x = 1,294,141.91
  5. Step 5: Solve for x
    x = 1,294,141.91/1,626.23
  6. Step 6: Final answer
    x = 795.79

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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.