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Finding the Fourth Proportional to 1,022.41, 1,532.54 and 429.77

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Solution

The fourth proportional to 1,022.41, 1,532.54 and 429.77 is: 644.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,022.41 : 1,532.54 = 429.77 : x
  2. Step 2: Convert to fraction form
    1,022.41/1,532.54 = 429.77/x
  3. Step 3: Cross multiply
    1,022.41x = 1,532.54 × 429.77
  4. Step 4: Simplify right side
    1,022.41x = 658,632.05
  5. Step 5: Solve for x
    x = 658,632.05/1,022.41
  6. Step 6: Final answer
    x = 644.20

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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.