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Finding the Fourth Proportional to 1,010.26, 1,513.77 and 913.06

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Solution

The fourth proportional to 1,010.26, 1,513.77 and 913.06 is: 1,368.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,010.26 : 1,513.77 = 913.06 : x
  2. Step 2: Convert to fraction form
    1,010.26/1,513.77 = 913.06/x
  3. Step 3: Cross multiply
    1,010.26x = 1,513.77 × 913.06
  4. Step 4: Simplify right side
    1,010.26x = 1,382,162.84
  5. Step 5: Solve for x
    x = 1,382,162.84/1,010.26
  6. Step 6: Final answer
    x = 1,368.13

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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.