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Finding the Fourth Proportional to 1,308.63, 1,806.26 and 784.83

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Solution

The fourth proportional to 1,308.63, 1,806.26 and 784.83 is: 1,083.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,308.63 : 1,806.26 = 784.83 : x
  2. Step 2: Convert to fraction form
    1,308.63/1,806.26 = 784.83/x
  3. Step 3: Cross multiply
    1,308.63x = 1,806.26 × 784.83
  4. Step 4: Simplify right side
    1,308.63x = 1,417,603.11
  5. Step 5: Solve for x
    x = 1,417,603.11/1,308.63
  6. Step 6: Final answer
    x = 1,083.27

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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.