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Finding the Fourth Proportional to 1,014.79, 1,522.23 and 430.05

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Solution

The fourth proportional to 1,014.79, 1,522.23 and 430.05 is: 645.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,014.79 : 1,522.23 = 430.05 : x
  2. Step 2: Convert to fraction form
    1,014.79/1,522.23 = 430.05/x
  3. Step 3: Cross multiply
    1,014.79x = 1,522.23 × 430.05
  4. Step 4: Simplify right side
    1,014.79x = 654,635.01
  5. Step 5: Solve for x
    x = 654,635.01/1,014.79
  6. Step 6: Final answer
    x = 645.09

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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.