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Finding the Fourth Proportional to 1,021.03, 1,530.73 and 443.50

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Solution

The fourth proportional to 1,021.03, 1,530.73 and 443.50 is: 664.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,021.03 : 1,530.73 = 443.50 : x
  2. Step 2: Convert to fraction form
    1,021.03/1,530.73 = 443.50/x
  3. Step 3: Cross multiply
    1,021.03x = 1,530.73 × 443.50
  4. Step 4: Simplify right side
    1,021.03x = 678,878.76
  5. Step 5: Solve for x
    x = 678,878.76/1,021.03
  6. Step 6: Final answer
    x = 664.90

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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.