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Finding the Fourth Proportional to 1,023.83, 1,532.34 and 778.98

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Solution

The fourth proportional to 1,023.83, 1,532.34 and 778.98 is: 1,165.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,023.83 : 1,532.34 = 778.98 : x
  2. Step 2: Convert to fraction form
    1,023.83/1,532.34 = 778.98/x
  3. Step 3: Cross multiply
    1,023.83x = 1,532.34 × 778.98
  4. Step 4: Simplify right side
    1,023.83x = 1,193,662.21
  5. Step 5: Solve for x
    x = 1,193,662.21/1,023.83
  6. Step 6: Final answer
    x = 1,165.89

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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.