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Finding the Fourth Proportional to 1,297.86, 1,944.18 and 603.57

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Solution

The fourth proportional to 1,297.86, 1,944.18 and 603.57 is: 904.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,297.86 : 1,944.18 = 603.57 : x
  2. Step 2: Convert to fraction form
    1,297.86/1,944.18 = 603.57/x
  3. Step 3: Cross multiply
    1,297.86x = 1,944.18 × 603.57
  4. Step 4: Simplify right side
    1,297.86x = 1,173,448.72
  5. Step 5: Solve for x
    x = 1,173,448.72/1,297.86
  6. Step 6: Final answer
    x = 904.14

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.