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Finding the Fourth Proportional to 856.33, 1,174.02 and 840.76

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Solution

The fourth proportional to 856.33, 1,174.02 and 840.76 is: 1,152.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    856.33 : 1,174.02 = 840.76 : x
  2. Step 2: Convert to fraction form
    856.33/1,174.02 = 840.76/x
  3. Step 3: Cross multiply
    856.33x = 1,174.02 × 840.76
  4. Step 4: Simplify right side
    856.33x = 987,069.06
  5. Step 5: Solve for x
    x = 987,069.06/856.33
  6. Step 6: Final answer
    x = 1,152.67

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.