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Finding the Fourth Proportional to 1,203.01, 1,803.85 and 740.96

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Solution

The fourth proportional to 1,203.01, 1,803.85 and 740.96 is: 1,111.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,203.01 : 1,803.85 = 740.96 : x
  2. Step 2: Convert to fraction form
    1,203.01/1,803.85 = 740.96/x
  3. Step 3: Cross multiply
    1,203.01x = 1,803.85 × 740.96
  4. Step 4: Simplify right side
    1,203.01x = 1,336,580.70
  5. Step 5: Solve for x
    x = 1,336,580.70/1,203.01
  6. Step 6: Final answer
    x = 1,111.03

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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.