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Finding the Fourth Proportional to 771.40, 1,063.78 and 653.37

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Solution

The fourth proportional to 771.40, 1,063.78 and 653.37 is: 901.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    771.40 : 1,063.78 = 653.37 : x
  2. Step 2: Convert to fraction form
    771.40/1,063.78 = 653.37/x
  3. Step 3: Cross multiply
    771.40x = 1,063.78 × 653.37
  4. Step 4: Simplify right side
    771.40x = 695,041.94
  5. Step 5: Solve for x
    x = 695,041.94/771.40
  6. Step 6: Final answer
    x = 901.01

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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.