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Finding the Fourth Proportional to 1,607.85, 2,412.59 and 785.97

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Solution

The fourth proportional to 1,607.85, 2,412.59 and 785.97 is: 1,179.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,607.85 : 2,412.59 = 785.97 : x
  2. Step 2: Convert to fraction form
    1,607.85/2,412.59 = 785.97/x
  3. Step 3: Cross multiply
    1,607.85x = 2,412.59 × 785.97
  4. Step 4: Simplify right side
    1,607.85x = 1,896,219.43
  5. Step 5: Solve for x
    x = 1,896,219.43/1,607.85
  6. Step 6: Final answer
    x = 1,179.35

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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.