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Finding the Fourth Proportional to 1,015.71, 1,524.12 and 430.62

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Solution

The fourth proportional to 1,015.71, 1,524.12 and 430.62 is: 646.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,015.71 : 1,524.12 = 430.62 : x
  2. Step 2: Convert to fraction form
    1,015.71/1,524.12 = 430.62/x
  3. Step 3: Cross multiply
    1,015.71x = 1,524.12 × 430.62
  4. Step 4: Simplify right side
    1,015.71x = 656,316.55
  5. Step 5: Solve for x
    x = 656,316.55/1,015.71
  6. Step 6: Final answer
    x = 646.17

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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.