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Finding the Fourth Proportional to 1,333.67, 2,000.77 and 468.05

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Solution

The fourth proportional to 1,333.67, 2,000.77 and 468.05 is: 702.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,333.67 : 2,000.77 = 468.05 : x
  2. Step 2: Convert to fraction form
    1,333.67/2,000.77 = 468.05/x
  3. Step 3: Cross multiply
    1,333.67x = 2,000.77 × 468.05
  4. Step 4: Simplify right side
    1,333.67x = 936,449.22
  5. Step 5: Solve for x
    x = 936,449.22/1,333.67
  6. Step 6: Final answer
    x = 702.16

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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.