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Finding the Fourth Proportional to 732.90, 1,009.69 and 511.46

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Solution

The fourth proportional to 732.90, 1,009.69 and 511.46 is: 704.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    732.90 : 1,009.69 = 511.46 : x
  2. Step 2: Convert to fraction form
    732.90/1,009.69 = 511.46/x
  3. Step 3: Cross multiply
    732.90x = 1,009.69 × 511.46
  4. Step 4: Simplify right side
    732.90x = 516,416.05
  5. Step 5: Solve for x
    x = 516,416.05/732.90
  6. Step 6: Final answer
    x = 704.62

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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.