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Finding the Fourth Proportional to 1,297.56, 1,780.35 and 1,285.32

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Solution

The fourth proportional to 1,297.56, 1,780.35 and 1,285.32 is: 1,763.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,297.56 : 1,780.35 = 1,285.32 : x
  2. Step 2: Convert to fraction form
    1,297.56/1,780.35 = 1,285.32/x
  3. Step 3: Cross multiply
    1,297.56x = 1,780.35 × 1,285.32
  4. Step 4: Simplify right side
    1,297.56x = 2,288,319.46
  5. Step 5: Solve for x
    x = 2,288,319.46/1,297.56
  6. Step 6: Final answer
    x = 1,763.56

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These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.