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Finding the Fourth Proportional to 1,015.78, 1,523.12 and 430.60

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Solution

The fourth proportional to 1,015.78, 1,523.12 and 430.60 is: 645.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,015.78 : 1,523.12 = 430.60 : x
  2. Step 2: Convert to fraction form
    1,015.78/1,523.12 = 430.60/x
  3. Step 3: Cross multiply
    1,015.78x = 1,523.12 × 430.60
  4. Step 4: Simplify right side
    1,015.78x = 655,855.47
  5. Step 5: Solve for x
    x = 655,855.47/1,015.78
  6. Step 6: Final answer
    x = 645.67

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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.