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Finding the Fourth Proportional to 1,047.96, 1,445.31 and 1,035

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Solution

The fourth proportional to 1,047.96, 1,445.31 and 1,035 is: 1,427.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,047.96 : 1,445.31 = 1,035 : x
  2. Step 2: Convert to fraction form
    1,047.96/1,445.31 = 1,035/x
  3. Step 3: Cross multiply
    1,047.96x = 1,445.31 × 1,035
  4. Step 4: Simplify right side
    1,047.96x = 1,495,895.85
  5. Step 5: Solve for x
    x = 1,495,895.85/1,047.96
  6. Step 6: Final answer
    x = 1,427.44

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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.