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Finding the Fourth Proportional to 1,606.77, 2,410.56 and 785.43

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Solution

The fourth proportional to 1,606.77, 2,410.56 and 785.43 is: 1,178.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,606.77 : 2,410.56 = 785.43 : x
  2. Step 2: Convert to fraction form
    1,606.77/2,410.56 = 785.43/x
  3. Step 3: Cross multiply
    1,606.77x = 2,410.56 × 785.43
  4. Step 4: Simplify right side
    1,606.77x = 1,893,326.14
  5. Step 5: Solve for x
    x = 1,893,326.14/1,606.77
  6. Step 6: Final answer
    x = 1,178.34

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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.