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Finding the Fourth Proportional to 1,199.36, 1,798.24 and 429.76

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Solution

The fourth proportional to 1,199.36, 1,798.24 and 429.76 is: 644.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,199.36 : 1,798.24 = 429.76 : x
  2. Step 2: Convert to fraction form
    1,199.36/1,798.24 = 429.76/x
  3. Step 3: Cross multiply
    1,199.36x = 1,798.24 × 429.76
  4. Step 4: Simplify right side
    1,199.36x = 772,811.62
  5. Step 5: Solve for x
    x = 772,811.62/1,199.36
  6. Step 6: Final answer
    x = 644.35

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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.