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Finding the Fourth Proportional to 732.75, 1,009.48 and 511.30

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Solution

The fourth proportional to 732.75, 1,009.48 and 511.30 is: 704.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    732.75 : 1,009.48 = 511.30 : x
  2. Step 2: Convert to fraction form
    732.75/1,009.48 = 511.30/x
  3. Step 3: Cross multiply
    732.75x = 1,009.48 × 511.30
  4. Step 4: Simplify right side
    732.75x = 516,148.07
  5. Step 5: Solve for x
    x = 516,148.07/732.75
  6. Step 6: Final answer
    x = 704.40

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.