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Finding the Fourth Proportional to 993.40, 1,369.40 and 783.22

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Solution

The fourth proportional to 993.40, 1,369.40 and 783.22 is: 1,079.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    993.40 : 1,369.40 = 783.22 : x
  2. Step 2: Convert to fraction form
    993.40/1,369.40 = 783.22/x
  3. Step 3: Cross multiply
    993.40x = 1,369.40 × 783.22
  4. Step 4: Simplify right side
    993.40x = 1,072,541.47
  5. Step 5: Solve for x
    x = 1,072,541.47/993.40
  6. Step 6: Final answer
    x = 1,079.67

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.