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Finding the Fourth Proportional to 1,434.52, 1,980.03 and 845.25

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Solution

The fourth proportional to 1,434.52, 1,980.03 and 845.25 is: 1,166.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,434.52 : 1,980.03 = 845.25 : x
  2. Step 2: Convert to fraction form
    1,434.52/1,980.03 = 845.25/x
  3. Step 3: Cross multiply
    1,434.52x = 1,980.03 × 845.25
  4. Step 4: Simplify right side
    1,434.52x = 1,673,616.10
  5. Step 5: Solve for x
    x = 1,673,616.10/1,434.52
  6. Step 6: Final answer
    x = 1,166.67

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