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Finding the Fourth Proportional to 1,569.38, 2,165.81 and 870.75

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Solution

The fourth proportional to 1,569.38, 2,165.81 and 870.75 is: 1,201.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,569.38 : 2,165.81 = 870.75 : x
  2. Step 2: Convert to fraction form
    1,569.38/2,165.81 = 870.75/x
  3. Step 3: Cross multiply
    1,569.38x = 2,165.81 × 870.75
  4. Step 4: Simplify right side
    1,569.38x = 1,885,874.70
  5. Step 5: Solve for x
    x = 1,885,874.70/1,569.38
  6. Step 6: Final answer
    x = 1,201.67

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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.