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Finding the Fourth Proportional to 860.57, 1,187.59 and 467.60

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Solution

The fourth proportional to 860.57, 1,187.59 and 467.60 is: 645.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    860.57 : 1,187.59 = 467.60 : x
  2. Step 2: Convert to fraction form
    860.57/1,187.59 = 467.60/x
  3. Step 3: Cross multiply
    860.57x = 1,187.59 × 467.60
  4. Step 4: Simplify right side
    860.57x = 555,309.54
  5. Step 5: Solve for x
    x = 555,309.54/860.57
  6. Step 6: Final answer
    x = 645.28

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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.