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Finding the Fourth Proportional to 1,330.78, 1,836.35 and 771.27

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Solution

The fourth proportional to 1,330.78, 1,836.35 and 771.27 is: 1,064.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,330.78 : 1,836.35 = 771.27 : x
  2. Step 2: Convert to fraction form
    1,330.78/1,836.35 = 771.27/x
  3. Step 3: Cross multiply
    1,330.78x = 1,836.35 × 771.27
  4. Step 4: Simplify right side
    1,330.78x = 1,416,308.63
  5. Step 5: Solve for x
    x = 1,416,308.63/1,330.78
  6. Step 6: Final answer
    x = 1,064.27

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1.5x scale

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.