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Finding the Fourth Proportional to 1,297.18, 1,945.44 and 603.17

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Solution

The fourth proportional to 1,297.18, 1,945.44 and 603.17 is: 904.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,297.18 : 1,945.44 = 603.17 : x
  2. Step 2: Convert to fraction form
    1,297.18/1,945.44 = 603.17/x
  3. Step 3: Cross multiply
    1,297.18x = 1,945.44 × 603.17
  4. Step 4: Simplify right side
    1,297.18x = 1,173,431.04
  5. Step 5: Solve for x
    x = 1,173,431.04/1,297.18
  6. Step 6: Final answer
    x = 904.60

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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.