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Finding the Fourth Proportional to 1,435.33, 1,980.61 and 845.92

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Solution

The fourth proportional to 1,435.33, 1,980.61 and 845.92 is: 1,167.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,435.33 : 1,980.61 = 845.92 : x
  2. Step 2: Convert to fraction form
    1,435.33/1,980.61 = 845.92/x
  3. Step 3: Cross multiply
    1,435.33x = 1,980.61 × 845.92
  4. Step 4: Simplify right side
    1,435.33x = 1,675,437.61
  5. Step 5: Solve for x
    x = 1,675,437.61/1,435.33
  6. Step 6: Final answer
    x = 1,167.28

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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.