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Finding the Fourth Proportional to 1,435.05, 1,981.73 and 963.32

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Solution

The fourth proportional to 1,435.05, 1,981.73 and 963.32 is: 1,330.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,435.05 : 1,981.73 = 963.32 : x
  2. Step 2: Convert to fraction form
    1,435.05/1,981.73 = 963.32/x
  3. Step 3: Cross multiply
    1,435.05x = 1,981.73 × 963.32
  4. Step 4: Simplify right side
    1,435.05x = 1,909,032.64
  5. Step 5: Solve for x
    x = 1,909,032.64/1,435.05
  6. Step 6: Final answer
    x = 1,330.29

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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.