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Finding the Fourth Proportional to 1,435.06, 1,980.46 and 845.79

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Solution

The fourth proportional to 1,435.06, 1,980.46 and 845.79 is: 1,167.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,435.06 : 1,980.46 = 845.79 : x
  2. Step 2: Convert to fraction form
    1,435.06/1,980.46 = 845.79/x
  3. Step 3: Cross multiply
    1,435.06x = 1,980.46 × 845.79
  4. Step 4: Simplify right side
    1,435.06x = 1,675,053.26
  5. Step 5: Solve for x
    x = 1,675,053.26/1,435.06
  6. Step 6: Final answer
    x = 1,167.24

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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.