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Finding the Fourth Proportional to 1,401.57, 1,934.22 and 870.75

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Solution

The fourth proportional to 1,401.57, 1,934.22 and 870.75 is: 1,201.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,401.57 : 1,934.22 = 870.75 : x
  2. Step 2: Convert to fraction form
    1,401.57/1,934.22 = 870.75/x
  3. Step 3: Cross multiply
    1,401.57x = 1,934.22 × 870.75
  4. Step 4: Simplify right side
    1,401.57x = 1,684,225.33
  5. Step 5: Solve for x
    x = 1,684,225.33/1,401.57
  6. Step 6: Final answer
    x = 1,201.67

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.