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Finding the Fourth Proportional to 1,442.87, 1,991.15 and 853.39

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Solution

The fourth proportional to 1,442.87, 1,991.15 and 853.39 is: 1,177.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,442.87 : 1,991.15 = 853.39 : x
  2. Step 2: Convert to fraction form
    1,442.87/1,991.15 = 853.39/x
  3. Step 3: Cross multiply
    1,442.87x = 1,991.15 × 853.39
  4. Step 4: Simplify right side
    1,442.87x = 1,699,228.92
  5. Step 5: Solve for x
    x = 1,699,228.92/1,442.87
  6. Step 6: Final answer
    x = 1,177.67

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1.5x scale

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.