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Finding the Fourth Proportional to 860.08, 1,186.92 and 506.08

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Solution

The fourth proportional to 860.08, 1,186.92 and 506.08 is: 698.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    860.08 : 1,186.92 = 506.08 : x
  2. Step 2: Convert to fraction form
    860.08/1,186.92 = 506.08/x
  3. Step 3: Cross multiply
    860.08x = 1,186.92 × 506.08
  4. Step 4: Simplify right side
    860.08x = 600,676.47
  5. Step 5: Solve for x
    x = 600,676.47/860.08
  6. Step 6: Final answer
    x = 698.40

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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.