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Finding the Fourth Proportional to 1,004.34, 1,384.11 and 782.94

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Solution

The fourth proportional to 1,004.34, 1,384.11 and 782.94 is: 1,078.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,004.34 : 1,384.11 = 782.94 : x
  2. Step 2: Convert to fraction form
    1,004.34/1,384.11 = 782.94/x
  3. Step 3: Cross multiply
    1,004.34x = 1,384.11 × 782.94
  4. Step 4: Simplify right side
    1,004.34x = 1,083,675.08
  5. Step 5: Solve for x
    x = 1,083,675.08/1,004.34
  6. Step 6: Final answer
    x = 1,078.99

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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.