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Finding the Fourth Proportional to 1,376.77, 2,065.26 and 555.05

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Solution

The fourth proportional to 1,376.77, 2,065.26 and 555.05 is: 832.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,376.77 : 2,065.26 = 555.05 : x
  2. Step 2: Convert to fraction form
    1,376.77/2,065.26 = 555.05/x
  3. Step 3: Cross multiply
    1,376.77x = 2,065.26 × 555.05
  4. Step 4: Simplify right side
    1,376.77x = 1,146,322.56
  5. Step 5: Solve for x
    x = 1,146,322.56/1,376.77
  6. Step 6: Final answer
    x = 832.62

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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.