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Finding the Fourth Proportional to 1,019.21, 1,528.20 and 325.58

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Solution

The fourth proportional to 1,019.21, 1,528.20 and 325.58 is: 488.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,019.21 : 1,528.20 = 325.58 : x
  2. Step 2: Convert to fraction form
    1,019.21/1,528.20 = 325.58/x
  3. Step 3: Cross multiply
    1,019.21x = 1,528.20 × 325.58
  4. Step 4: Simplify right side
    1,019.21x = 497,543.72
  5. Step 5: Solve for x
    x = 497,543.72/1,019.21
  6. Step 6: Final answer
    x = 488.17

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.