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Finding the Fourth Proportional to 860.40, 1,186.08 and 564.96

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Solution

The fourth proportional to 860.40, 1,186.08 and 564.96 is: 778.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    860.40 : 1,186.08 = 564.96 : x
  2. Step 2: Convert to fraction form
    860.40/1,186.08 = 564.96/x
  3. Step 3: Cross multiply
    860.40x = 1,186.08 × 564.96
  4. Step 4: Simplify right side
    860.40x = 670,087.76
  5. Step 5: Solve for x
    x = 670,087.76/860.40
  6. Step 6: Final answer
    x = 778.81

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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.