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Finding the Fourth Proportional to 1,704.91, 2,558.35 and 975

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Solution

The fourth proportional to 1,704.91, 2,558.35 and 975 is: 1,463.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,704.91 : 2,558.35 = 975 : x
  2. Step 2: Convert to fraction form
    1,704.91/2,558.35 = 975/x
  3. Step 3: Cross multiply
    1,704.91x = 2,558.35 × 975
  4. Step 4: Simplify right side
    1,704.91x = 2,494,391.25
  5. Step 5: Solve for x
    x = 2,494,391.25/1,704.91
  6. Step 6: Final answer
    x = 1,463.06

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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.