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Finding the Fourth Proportional to 1,333.16, 1,999.26 and 511.02

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Solution

The fourth proportional to 1,333.16, 1,999.26 and 511.02 is: 766.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,333.16 : 1,999.26 = 511.02 : x
  2. Step 2: Convert to fraction form
    1,333.16/1,999.26 = 511.02/x
  3. Step 3: Cross multiply
    1,333.16x = 1,999.26 × 511.02
  4. Step 4: Simplify right side
    1,333.16x = 1,021,661.85
  5. Step 5: Solve for x
    x = 1,021,661.85/1,333.16
  6. Step 6: Final answer
    x = 766.35

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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.