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Finding the Fourth Proportional to 1,325.07, 1,828.57 and 735.61

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Solution

The fourth proportional to 1,325.07, 1,828.57 and 735.61 is: 1,015.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,325.07 : 1,828.57 = 735.61 : x
  2. Step 2: Convert to fraction form
    1,325.07/1,828.57 = 735.61/x
  3. Step 3: Cross multiply
    1,325.07x = 1,828.57 × 735.61
  4. Step 4: Simplify right side
    1,325.07x = 1,345,110.70
  5. Step 5: Solve for x
    x = 1,345,110.70/1,325.07
  6. Step 6: Final answer
    x = 1,015.13

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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.