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Finding the Fourth Proportional to 1,202.69, 1,804.07 and 617.53

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Solution

The fourth proportional to 1,202.69, 1,804.07 and 617.53 is: 926.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,202.69 : 1,804.07 = 617.53 : x
  2. Step 2: Convert to fraction form
    1,202.69/1,804.07 = 617.53/x
  3. Step 3: Cross multiply
    1,202.69x = 1,804.07 × 617.53
  4. Step 4: Simplify right side
    1,202.69x = 1,114,068.89
  5. Step 5: Solve for x
    x = 1,114,068.89/1,202.69
  6. Step 6: Final answer
    x = 926.32

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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.