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Finding the Fourth Proportional to 1,803.98, 2,705.90 and 693.11

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Solution

The fourth proportional to 1,803.98, 2,705.90 and 693.11 is: 1,039.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,803.98 : 2,705.90 = 693.11 : x
  2. Step 2: Convert to fraction form
    1,803.98/2,705.90 = 693.11/x
  3. Step 3: Cross multiply
    1,803.98x = 2,705.90 × 693.11
  4. Step 4: Simplify right side
    1,803.98x = 1,875,486.35
  5. Step 5: Solve for x
    x = 1,875,486.35/1,803.98
  6. Step 6: Final answer
    x = 1,039.64

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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.