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Finding the Fourth Proportional to 1,308.84, 1,806.68 and 866.89

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Solution

The fourth proportional to 1,308.84, 1,806.68 and 866.89 is: 1,196.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,308.84 : 1,806.68 = 866.89 : x
  2. Step 2: Convert to fraction form
    1,308.84/1,806.68 = 866.89/x
  3. Step 3: Cross multiply
    1,308.84x = 1,806.68 × 866.89
  4. Step 4: Simplify right side
    1,308.84x = 1,566,187.09
  5. Step 5: Solve for x
    x = 1,566,187.09/1,308.84
  6. Step 6: Final answer
    x = 1,196.62

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1.5x scale

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.