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Finding the Fourth Proportional to 1,355.57, 1,870.60 and 758.06

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Solution

The fourth proportional to 1,355.57, 1,870.60 and 758.06 is: 1,046.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,355.57 : 1,870.60 = 758.06 : x
  2. Step 2: Convert to fraction form
    1,355.57/1,870.60 = 758.06/x
  3. Step 3: Cross multiply
    1,355.57x = 1,870.60 × 758.06
  4. Step 4: Simplify right side
    1,355.57x = 1,418,027.04
  5. Step 5: Solve for x
    x = 1,418,027.04/1,355.57
  6. Step 6: Final answer
    x = 1,046.07

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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.