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Finding the Fourth Proportional to 1,084.58, 1,623.52 and 693.28

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Solution

The fourth proportional to 1,084.58, 1,623.52 and 693.28 is: 1,037.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,084.58 : 1,623.52 = 693.28 : x
  2. Step 2: Convert to fraction form
    1,084.58/1,623.52 = 693.28/x
  3. Step 3: Cross multiply
    1,084.58x = 1,623.52 × 693.28
  4. Step 4: Simplify right side
    1,084.58x = 1,125,542.36
  5. Step 5: Solve for x
    x = 1,125,542.36/1,084.58
  6. Step 6: Final answer
    x = 1,037.77

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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.