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Finding the Fourth Proportional to 1,023.60, 1,533.78 and 830.28

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Solution

The fourth proportional to 1,023.60, 1,533.78 and 830.28 is: 1,244.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,023.60 : 1,533.78 = 830.28 : x
  2. Step 2: Convert to fraction form
    1,023.60/1,533.78 = 830.28/x
  3. Step 3: Cross multiply
    1,023.60x = 1,533.78 × 830.28
  4. Step 4: Simplify right side
    1,023.60x = 1,273,466.86
  5. Step 5: Solve for x
    x = 1,273,466.86/1,023.60
  6. Step 6: Final answer
    x = 1,244.11

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.