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Finding the Fourth Proportional to 753.33, 1,128.16 and 460.97

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Solution

The fourth proportional to 753.33, 1,128.16 and 460.97 is: 690.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    753.33 : 1,128.16 = 460.97 : x
  2. Step 2: Convert to fraction form
    753.33/1,128.16 = 460.97/x
  3. Step 3: Cross multiply
    753.33x = 1,128.16 × 460.97
  4. Step 4: Simplify right side
    753.33x = 520,039.97
  5. Step 5: Solve for x
    x = 520,039.97/753.33
  6. Step 6: Final answer
    x = 690.32

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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.