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Finding the Fourth Proportional to 1,764.70, 2,647.35 and 532.00

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Solution

The fourth proportional to 1,764.70, 2,647.35 and 532.00 is: 798.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,764.70 : 2,647.35 = 532.00 : x
  2. Step 2: Convert to fraction form
    1,764.70/2,647.35 = 532.00/x
  3. Step 3: Cross multiply
    1,764.70x = 2,647.35 × 532.00
  4. Step 4: Simplify right side
    1,764.70x = 1,408,393.51
  5. Step 5: Solve for x
    x = 1,408,393.51/1,764.70
  6. Step 6: Final answer
    x = 798.09

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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.