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Finding the Fourth Proportional to 860.35, 1,283.78 and 808.12

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Solution

The fourth proportional to 860.35, 1,283.78 and 808.12 is: 1,205.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    860.35 : 1,283.78 = 808.12 : x
  2. Step 2: Convert to fraction form
    860.35/1,283.78 = 808.12/x
  3. Step 3: Cross multiply
    860.35x = 1,283.78 × 808.12
  4. Step 4: Simplify right side
    860.35x = 1,037,448.29
  5. Step 5: Solve for x
    x = 1,037,448.29/860.35
  6. Step 6: Final answer
    x = 1,205.84

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.