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Finding the Fourth Proportional to 1,021.89, 1,533.12 and 466.96

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Solution

The fourth proportional to 1,021.89, 1,533.12 and 466.96 is: 700.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,021.89 : 1,533.12 = 466.96 : x
  2. Step 2: Convert to fraction form
    1,021.89/1,533.12 = 466.96/x
  3. Step 3: Cross multiply
    1,021.89x = 1,533.12 × 466.96
  4. Step 4: Simplify right side
    1,021.89x = 715,904.23
  5. Step 5: Solve for x
    x = 715,904.23/1,021.89
  6. Step 6: Final answer
    x = 700.57

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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.