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Finding the Fourth Proportional to 1,019.26, 1,528.51 and 325.74

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Solution

The fourth proportional to 1,019.26, 1,528.51 and 325.74 is: 488.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,019.26 : 1,528.51 = 325.74 : x
  2. Step 2: Convert to fraction form
    1,019.26/1,528.51 = 325.74/x
  3. Step 3: Cross multiply
    1,019.26x = 1,528.51 × 325.74
  4. Step 4: Simplify right side
    1,019.26x = 497,901.38
  5. Step 5: Solve for x
    x = 497,901.38/1,019.26
  6. Step 6: Final answer
    x = 488.49

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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.