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Finding the Fourth Proportional to 777.74, 1,074.26 and 653.81

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Solution

The fourth proportional to 777.74, 1,074.26 and 653.81 is: 903.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    777.74 : 1,074.26 = 653.81 : x
  2. Step 2: Convert to fraction form
    777.74/1,074.26 = 653.81/x
  3. Step 3: Cross multiply
    777.74x = 1,074.26 × 653.81
  4. Step 4: Simplify right side
    777.74x = 702,358.19
  5. Step 5: Solve for x
    x = 702,358.19/777.74
  6. Step 6: Final answer
    x = 903.08

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.