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Finding the Fourth Proportional to 1,855.77, 2,783.35 and 556.94

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Solution

The fourth proportional to 1,855.77, 2,783.35 and 556.94 is: 835.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,855.77 : 2,783.35 = 556.94 : x
  2. Step 2: Convert to fraction form
    1,855.77/2,783.35 = 556.94/x
  3. Step 3: Cross multiply
    1,855.77x = 2,783.35 × 556.94
  4. Step 4: Simplify right side
    1,855.77x = 1,550,158.95
  5. Step 5: Solve for x
    x = 1,550,158.95/1,855.77
  6. Step 6: Final answer
    x = 835.32

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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.