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Finding the Fourth Proportional to 1,764.58, 2,647.32 and 532.42

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Solution

The fourth proportional to 1,764.58, 2,647.32 and 532.42 is: 798.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,764.58 : 2,647.32 = 532.42 : x
  2. Step 2: Convert to fraction form
    1,764.58/2,647.32 = 532.42/x
  3. Step 3: Cross multiply
    1,764.58x = 2,647.32 × 532.42
  4. Step 4: Simplify right side
    1,764.58x = 1,409,486.11
  5. Step 5: Solve for x
    x = 1,409,486.11/1,764.58
  6. Step 6: Final answer
    x = 798.77

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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.