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Finding the Fourth Proportional to 1,015.22, 1,407.56 and 981.05

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Solution

The fourth proportional to 1,015.22, 1,407.56 and 981.05 is: 1,360.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,015.22 : 1,407.56 = 981.05 : x
  2. Step 2: Convert to fraction form
    1,015.22/1,407.56 = 981.05/x
  3. Step 3: Cross multiply
    1,015.22x = 1,407.56 × 981.05
  4. Step 4: Simplify right side
    1,015.22x = 1,380,886.74
  5. Step 5: Solve for x
    x = 1,380,886.74/1,015.22
  6. Step 6: Final answer
    x = 1,360.18

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These problems maintain the same ratio (1.39) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.