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Finding the Fourth Proportional to 1,705.89, 2,558.16 and 594.99

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Solution

The fourth proportional to 1,705.89, 2,558.16 and 594.99 is: 892.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,705.89 : 2,558.16 = 594.99 : x
  2. Step 2: Convert to fraction form
    1,705.89/2,558.16 = 594.99/x
  3. Step 3: Cross multiply
    1,705.89x = 2,558.16 × 594.99
  4. Step 4: Simplify right side
    1,705.89x = 1,522,079.62
  5. Step 5: Solve for x
    x = 1,522,079.62/1,705.89
  6. Step 6: Final answer
    x = 892.25

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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.