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Finding the Fourth Proportional to 1,202.54, 1,804.64 and 462.06

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Solution

The fourth proportional to 1,202.54, 1,804.64 and 462.06 is: 693.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,202.54 : 1,804.64 = 462.06 : x
  2. Step 2: Convert to fraction form
    1,202.54/1,804.64 = 462.06/x
  3. Step 3: Cross multiply
    1,202.54x = 1,804.64 × 462.06
  4. Step 4: Simplify right side
    1,202.54x = 833,851.96
  5. Step 5: Solve for x
    x = 833,851.96/1,202.54
  6. Step 6: Final answer
    x = 693.41

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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.