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Finding the Fourth Proportional to 1,212.64, 1,816.32 and 777.52

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Solution

The fourth proportional to 1,212.64, 1,816.32 and 777.52 is: 1,164.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,212.64 : 1,816.32 = 777.52 : x
  2. Step 2: Convert to fraction form
    1,212.64/1,816.32 = 777.52/x
  3. Step 3: Cross multiply
    1,212.64x = 1,816.32 × 777.52
  4. Step 4: Simplify right side
    1,212.64x = 1,412,225.13
  5. Step 5: Solve for x
    x = 1,412,225.13/1,212.64
  6. Step 6: Final answer
    x = 1,164.59

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Why These Related Problems?

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