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Finding the Fourth Proportional to 1,322.23, 1,982.93 and 913.99

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Solution

The fourth proportional to 1,322.23, 1,982.93 and 913.99 is: 1,370.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,322.23 : 1,982.93 = 913.99 : x
  2. Step 2: Convert to fraction form
    1,322.23/1,982.93 = 913.99/x
  3. Step 3: Cross multiply
    1,322.23x = 1,982.93 × 913.99
  4. Step 4: Simplify right side
    1,322.23x = 1,812,368.28
  5. Step 5: Solve for x
    x = 1,812,368.28/1,322.23
  6. Step 6: Final answer
    x = 1,370.70

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.