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Finding the Fourth Proportional to 860.53, 1,187.10 and 580.41

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Solution

The fourth proportional to 860.53, 1,187.10 and 580.41 is: 800.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    860.53 : 1,187.10 = 580.41 : x
  2. Step 2: Convert to fraction form
    860.53/1,187.10 = 580.41/x
  3. Step 3: Cross multiply
    860.53x = 1,187.10 × 580.41
  4. Step 4: Simplify right side
    860.53x = 689,004.71
  5. Step 5: Solve for x
    x = 689,004.71/860.53
  6. Step 6: Final answer
    x = 800.67

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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.