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Finding the Fourth Proportional to 1,019.27, 1,528.29 and 608.64

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Solution

The fourth proportional to 1,019.27, 1,528.29 and 608.64 is: 912.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,019.27 : 1,528.29 = 608.64 : x
  2. Step 2: Convert to fraction form
    1,019.27/1,528.29 = 608.64/x
  3. Step 3: Cross multiply
    1,019.27x = 1,528.29 × 608.64
  4. Step 4: Simplify right side
    1,019.27x = 930,178.43
  5. Step 5: Solve for x
    x = 930,178.43/1,019.27
  6. Step 6: Final answer
    x = 912.60

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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.