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Finding the Fourth Proportional to 1,378.08, 1,900.64 and 853.12

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Solution

The fourth proportional to 1,378.08, 1,900.64 and 853.12 is: 1,176.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,378.08 : 1,900.64 = 853.12 : x
  2. Step 2: Convert to fraction form
    1,378.08/1,900.64 = 853.12/x
  3. Step 3: Cross multiply
    1,378.08x = 1,900.64 × 853.12
  4. Step 4: Simplify right side
    1,378.08x = 1,621,474.00
  5. Step 5: Solve for x
    x = 1,621,474.00/1,378.08
  6. Step 6: Final answer
    x = 1,176.62

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.