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Finding the Fourth Proportional to 1,355.25, 1,870.26 and 890.31

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Solution

The fourth proportional to 1,355.25, 1,870.26 and 890.31 is: 1,228.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,355.25 : 1,870.26 = 890.31 : x
  2. Step 2: Convert to fraction form
    1,355.25/1,870.26 = 890.31/x
  3. Step 3: Cross multiply
    1,355.25x = 1,870.26 × 890.31
  4. Step 4: Simplify right side
    1,355.25x = 1,665,111.18
  5. Step 5: Solve for x
    x = 1,665,111.18/1,355.25
  6. Step 6: Final answer
    x = 1,228.64

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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.