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Finding the Fourth Proportional to 1,085.55, 1,616.76 and 1,047.29

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Solution

The fourth proportional to 1,085.55, 1,616.76 and 1,047.29 is: 1,559.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,085.55 : 1,616.76 = 1,047.29 : x
  2. Step 2: Convert to fraction form
    1,085.55/1,616.76 = 1,047.29/x
  3. Step 3: Cross multiply
    1,085.55x = 1,616.76 × 1,047.29
  4. Step 4: Simplify right side
    1,085.55x = 1,693,208.50
  5. Step 5: Solve for x
    x = 1,693,208.50/1,085.55
  6. Step 6: Final answer
    x = 1,559.77

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.