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Finding the Fourth Proportional to 860.06, 1,186.86 and 467.08

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Solution

The fourth proportional to 860.06, 1,186.86 and 467.08 is: 644.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    860.06 : 1,186.86 = 467.08 : x
  2. Step 2: Convert to fraction form
    860.06/1,186.86 = 467.08/x
  3. Step 3: Cross multiply
    860.06x = 1,186.86 × 467.08
  4. Step 4: Simplify right side
    860.06x = 554,358.57
  5. Step 5: Solve for x
    x = 554,358.57/860.06
  6. Step 6: Final answer
    x = 644.56

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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.