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Finding the Fourth Proportional to 1,308.63, 1,806.36 and 916.80

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Solution

The fourth proportional to 1,308.63, 1,806.36 and 916.80 is: 1,265.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,308.63 : 1,806.36 = 916.80 : x
  2. Step 2: Convert to fraction form
    1,308.63/1,806.36 = 916.80/x
  3. Step 3: Cross multiply
    1,308.63x = 1,806.36 × 916.80
  4. Step 4: Simplify right side
    1,308.63x = 1,656,070.85
  5. Step 5: Solve for x
    x = 1,656,070.85/1,308.63
  6. Step 6: Final answer
    x = 1,265.50

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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.