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Finding the Fourth Proportional to 1,093.32, 1,639.37 and 362.50

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Solution

The fourth proportional to 1,093.32, 1,639.37 and 362.50 is: 543.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,093.32 : 1,639.37 = 362.50 : x
  2. Step 2: Convert to fraction form
    1,093.32/1,639.37 = 362.50/x
  3. Step 3: Cross multiply
    1,093.32x = 1,639.37 × 362.50
  4. Step 4: Simplify right side
    1,093.32x = 594,271.63
  5. Step 5: Solve for x
    x = 594,271.63/1,093.32
  6. Step 6: Final answer
    x = 543.55

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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.