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Finding the Fourth Proportional to 1,384.25, 2,071.58 and 856.94

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Solution

The fourth proportional to 1,384.25, 2,071.58 and 856.94 is: 1,282.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,384.25 : 2,071.58 = 856.94 : x
  2. Step 2: Convert to fraction form
    1,384.25/2,071.58 = 856.94/x
  3. Step 3: Cross multiply
    1,384.25x = 2,071.58 × 856.94
  4. Step 4: Simplify right side
    1,384.25x = 1,775,205.12
  5. Step 5: Solve for x
    x = 1,775,205.12/1,384.25
  6. Step 6: Final answer
    x = 1,282.44

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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.