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Finding the Fourth Proportional to 1,085.51, 1,497.61 and 980.75

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Solution

The fourth proportional to 1,085.51, 1,497.61 and 980.75 is: 1,353.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,085.51 : 1,497.61 = 980.75 : x
  2. Step 2: Convert to fraction form
    1,085.51/1,497.61 = 980.75/x
  3. Step 3: Cross multiply
    1,085.51x = 1,497.61 × 980.75
  4. Step 4: Simplify right side
    1,085.51x = 1,468,781.01
  5. Step 5: Solve for x
    x = 1,468,781.01/1,085.51
  6. Step 6: Final answer
    x = 1,353.08

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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.