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Finding the Fourth Proportional to 1,403.54, 2,105.62 and 429.72

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Solution

The fourth proportional to 1,403.54, 2,105.62 and 429.72 is: 644.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,403.54 : 2,105.62 = 429.72 : x
  2. Step 2: Convert to fraction form
    1,403.54/2,105.62 = 429.72/x
  3. Step 3: Cross multiply
    1,403.54x = 2,105.62 × 429.72
  4. Step 4: Simplify right side
    1,403.54x = 904,827.56
  5. Step 5: Solve for x
    x = 904,827.56/1,403.54
  6. Step 6: Final answer
    x = 644.67

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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.