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Finding the Fourth Proportional to 1,333.05, 1,999.58 and 466.75

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Solution

The fourth proportional to 1,333.05, 1,999.58 and 466.75 is: 700.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,333.05 : 1,999.58 = 466.75 : x
  2. Step 2: Convert to fraction form
    1,333.05/1,999.58 = 466.75/x
  3. Step 3: Cross multiply
    1,333.05x = 1,999.58 × 466.75
  4. Step 4: Simplify right side
    1,333.05x = 933,303.97
  5. Step 5: Solve for x
    x = 933,303.97/1,333.05
  6. Step 6: Final answer
    x = 700.13

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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.