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Finding the Fourth Proportional to 1,065.36, 1,605.12 and 962.76

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Solution

The fourth proportional to 1,065.36, 1,605.12 and 962.76 is: 1,450.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,065.36 : 1,605.12 = 962.76 : x
  2. Step 2: Convert to fraction form
    1,065.36/1,605.12 = 962.76/x
  3. Step 3: Cross multiply
    1,065.36x = 1,605.12 × 962.76
  4. Step 4: Simplify right side
    1,065.36x = 1,545,345.33
  5. Step 5: Solve for x
    x = 1,545,345.33/1,065.36
  6. Step 6: Final answer
    x = 1,450.54

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These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.