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Finding the Fourth Proportional to 1,306.89, 1,804.36 and 1,007.57

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Solution

The fourth proportional to 1,306.89, 1,804.36 and 1,007.57 is: 1,391.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,306.89 : 1,804.36 = 1,007.57 : x
  2. Step 2: Convert to fraction form
    1,306.89/1,804.36 = 1,007.57/x
  3. Step 3: Cross multiply
    1,306.89x = 1,804.36 × 1,007.57
  4. Step 4: Simplify right side
    1,306.89x = 1,818,019.01
  5. Step 5: Solve for x
    x = 1,818,019.01/1,306.89
  6. Step 6: Final answer
    x = 1,391.10

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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.