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Finding the Fourth Proportional to 786.40, 1,085.06 and 599.56

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Solution

The fourth proportional to 786.40, 1,085.06 and 599.56 is: 827.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    786.40 : 1,085.06 = 599.56 : x
  2. Step 2: Convert to fraction form
    786.40/1,085.06 = 599.56/x
  3. Step 3: Cross multiply
    786.40x = 1,085.06 × 599.56
  4. Step 4: Simplify right side
    786.40x = 650,558.57
  5. Step 5: Solve for x
    x = 650,558.57/786.40
  6. Step 6: Final answer
    x = 827.26

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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.