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Finding the Fourth Proportional to 1,316.15, 1,816.07 and 756.42

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Solution

The fourth proportional to 1,316.15, 1,816.07 and 756.42 is: 1,043.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,316.15 : 1,816.07 = 756.42 : x
  2. Step 2: Convert to fraction form
    1,316.15/1,816.07 = 756.42/x
  3. Step 3: Cross multiply
    1,316.15x = 1,816.07 × 756.42
  4. Step 4: Simplify right side
    1,316.15x = 1,373,707.89
  5. Step 5: Solve for x
    x = 1,373,707.89/1,316.15
  6. Step 6: Final answer
    x = 1,043.73

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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.