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Finding the Fourth Proportional to 1,023, 1,411.78 and 609.24

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Solution

The fourth proportional to 1,023, 1,411.78 and 609.24 is: 840.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,023 : 1,411.78 = 609.24 : x
  2. Step 2: Convert to fraction form
    1,023/1,411.78 = 609.24/x
  3. Step 3: Cross multiply
    1,023x = 1,411.78 × 609.24
  4. Step 4: Simplify right side
    1,023x = 860,112.85
  5. Step 5: Solve for x
    x = 860,112.85/1,023
  6. Step 6: Final answer
    x = 840.78

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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.