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Finding the Fourth Proportional to 732.16, 1,009.83 and 535.33

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Solution

The fourth proportional to 732.16, 1,009.83 and 535.33 is: 738.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    732.16 : 1,009.83 = 535.33 : x
  2. Step 2: Convert to fraction form
    732.16/1,009.83 = 535.33/x
  3. Step 3: Cross multiply
    732.16x = 1,009.83 × 535.33
  4. Step 4: Simplify right side
    732.16x = 540,592.29
  5. Step 5: Solve for x
    x = 540,592.29/732.16
  6. Step 6: Final answer
    x = 738.35

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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.