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Finding the Fourth Proportional to 1,436.96, 1,983.28 and 913.60

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Solution

The fourth proportional to 1,436.96, 1,983.28 and 913.60 is: 1,260.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,436.96 : 1,983.28 = 913.60 : x
  2. Step 2: Convert to fraction form
    1,436.96/1,983.28 = 913.60/x
  3. Step 3: Cross multiply
    1,436.96x = 1,983.28 × 913.60
  4. Step 4: Simplify right side
    1,436.96x = 1,811,924.61
  5. Step 5: Solve for x
    x = 1,811,924.61/1,436.96
  6. Step 6: Final answer
    x = 1,260.94

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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.