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Finding the Fourth Proportional to 1,027.64, 1,414.59 and 778.52

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Solution

The fourth proportional to 1,027.64, 1,414.59 and 778.52 is: 1,071.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,027.64 : 1,414.59 = 778.52 : x
  2. Step 2: Convert to fraction form
    1,027.64/1,414.59 = 778.52/x
  3. Step 3: Cross multiply
    1,027.64x = 1,414.59 × 778.52
  4. Step 4: Simplify right side
    1,027.64x = 1,101,286.61
  5. Step 5: Solve for x
    x = 1,101,286.61/1,027.64
  6. Step 6: Final answer
    x = 1,071.67

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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.