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Finding the Fourth Proportional to 1,309.07, 1,962.48 and 528.23

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Solution

The fourth proportional to 1,309.07, 1,962.48 and 528.23 is: 791.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,309.07 : 1,962.48 = 528.23 : x
  2. Step 2: Convert to fraction form
    1,309.07/1,962.48 = 528.23/x
  3. Step 3: Cross multiply
    1,309.07x = 1,962.48 × 528.23
  4. Step 4: Simplify right side
    1,309.07x = 1,036,640.81
  5. Step 5: Solve for x
    x = 1,036,640.81/1,309.07
  6. Step 6: Final answer
    x = 791.89

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.