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Finding the Fourth Proportional to 1,202.55, 1,803.47 and 625.11

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Solution

The fourth proportional to 1,202.55, 1,803.47 and 625.11 is: 937.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,202.55 : 1,803.47 = 625.11 : x
  2. Step 2: Convert to fraction form
    1,202.55/1,803.47 = 625.11/x
  3. Step 3: Cross multiply
    1,202.55x = 1,803.47 × 625.11
  4. Step 4: Simplify right side
    1,202.55x = 1,127,364.01
  5. Step 5: Solve for x
    x = 1,127,364.01/1,202.55
  6. Step 6: Final answer
    x = 937.48

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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.