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Finding the Fourth Proportional to 1,213.60, 1,674.96 and 771.04

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Solution

The fourth proportional to 1,213.60, 1,674.96 and 771.04 is: 1,064.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,213.60 : 1,674.96 = 771.04 : x
  2. Step 2: Convert to fraction form
    1,213.60/1,674.96 = 771.04/x
  3. Step 3: Cross multiply
    1,213.60x = 1,674.96 × 771.04
  4. Step 4: Simplify right side
    1,213.60x = 1,291,461.16
  5. Step 5: Solve for x
    x = 1,291,461.16/1,213.60
  6. Step 6: Final answer
    x = 1,064.16

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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.