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Finding the Fourth Proportional to 860.13, 1,186.98 and 467.15

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Solution

The fourth proportional to 860.13, 1,186.98 and 467.15 is: 644.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    860.13 : 1,186.98 = 467.15 : x
  2. Step 2: Convert to fraction form
    860.13/1,186.98 = 467.15/x
  3. Step 3: Cross multiply
    860.13x = 1,186.98 × 467.15
  4. Step 4: Simplify right side
    860.13x = 554,501.87
  5. Step 5: Solve for x
    x = 554,501.87/860.13
  6. Step 6: Final answer
    x = 644.67

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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.