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Finding the Fourth Proportional to 1,199.46, 1,798.92 and 782.86

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Solution

The fourth proportional to 1,199.46, 1,798.92 and 782.86 is: 1,174.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,199.46 : 1,798.92 = 782.86 : x
  2. Step 2: Convert to fraction form
    1,199.46/1,798.92 = 782.86/x
  3. Step 3: Cross multiply
    1,199.46x = 1,798.92 × 782.86
  4. Step 4: Simplify right side
    1,199.46x = 1,408,302.51
  5. Step 5: Solve for x
    x = 1,408,302.51/1,199.46
  6. Step 6: Final answer
    x = 1,174.11

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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.