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Finding the Fourth Proportional to 1,435.61, 1,981.65 and 838.31

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Solution

The fourth proportional to 1,435.61, 1,981.65 and 838.31 is: 1,157.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,435.61 : 1,981.65 = 838.31 : x
  2. Step 2: Convert to fraction form
    1,435.61/1,981.65 = 838.31/x
  3. Step 3: Cross multiply
    1,435.61x = 1,981.65 × 838.31
  4. Step 4: Simplify right side
    1,435.61x = 1,661,227.10
  5. Step 5: Solve for x
    x = 1,661,227.10/1,435.61
  6. Step 6: Final answer
    x = 1,157.16

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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.