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Finding the Fourth Proportional to 1,202.95, 1,804.08 and 462.51

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Solution

The fourth proportional to 1,202.95, 1,804.08 and 462.51 is: 693.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,202.95 : 1,804.08 = 462.51 : x
  2. Step 2: Convert to fraction form
    1,202.95/1,804.08 = 462.51/x
  3. Step 3: Cross multiply
    1,202.95x = 1,804.08 × 462.51
  4. Step 4: Simplify right side
    1,202.95x = 834,405.04
  5. Step 5: Solve for x
    x = 834,405.04/1,202.95
  6. Step 6: Final answer
    x = 693.63

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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.