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Finding the Fourth Proportional to 1,434.62, 1,980.06 and 845.48

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Solution

The fourth proportional to 1,434.62, 1,980.06 and 845.48 is: 1,166.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,434.62 : 1,980.06 = 845.48 : x
  2. Step 2: Convert to fraction form
    1,434.62/1,980.06 = 845.48/x
  3. Step 3: Cross multiply
    1,434.62x = 1,980.06 × 845.48
  4. Step 4: Simplify right side
    1,434.62x = 1,674,101.13
  5. Step 5: Solve for x
    x = 1,674,101.13/1,434.62
  6. Step 6: Final answer
    x = 1,166.93

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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.