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Finding the Fourth Proportional to 983.45, 1,357.16 and 535.32

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Solution

The fourth proportional to 983.45, 1,357.16 and 535.32 is: 738.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    983.45 : 1,357.16 = 535.32 : x
  2. Step 2: Convert to fraction form
    983.45/1,357.16 = 535.32/x
  3. Step 3: Cross multiply
    983.45x = 1,357.16 × 535.32
  4. Step 4: Simplify right side
    983.45x = 726,514.89
  5. Step 5: Solve for x
    x = 726,514.89/983.45
  6. Step 6: Final answer
    x = 738.74

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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.