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Finding the Fourth Proportional to 1,199.82, 1,800.54 and 430.32

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Solution

The fourth proportional to 1,199.82, 1,800.54 and 430.32 is: 645.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,199.82 : 1,800.54 = 430.32 : x
  2. Step 2: Convert to fraction form
    1,199.82/1,800.54 = 430.32/x
  3. Step 3: Cross multiply
    1,199.82x = 1,800.54 × 430.32
  4. Step 4: Simplify right side
    1,199.82x = 774,808.37
  5. Step 5: Solve for x
    x = 774,808.37/1,199.82
  6. Step 6: Final answer
    x = 645.77

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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.