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Finding the Fourth Proportional to 1,584.03, 2,376.03 and 429.78

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Solution

The fourth proportional to 1,584.03, 2,376.03 and 429.78 is: 644.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,584.03 : 2,376.03 = 429.78 : x
  2. Step 2: Convert to fraction form
    1,584.03/2,376.03 = 429.78/x
  3. Step 3: Cross multiply
    1,584.03x = 2,376.03 × 429.78
  4. Step 4: Simplify right side
    1,584.03x = 1,021,170.17
  5. Step 5: Solve for x
    x = 1,021,170.17/1,584.03
  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.