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Finding the Fourth Proportional to 1,009.24, 1,393.14 and 777.04

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Solution

The fourth proportional to 1,009.24, 1,393.14 and 777.04 is: 1,072.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,009.24 : 1,393.14 = 777.04 : x
  2. Step 2: Convert to fraction form
    1,009.24/1,393.14 = 777.04/x
  3. Step 3: Cross multiply
    1,009.24x = 1,393.14 × 777.04
  4. Step 4: Simplify right side
    1,009.24x = 1,082,525.51
  5. Step 5: Solve for x
    x = 1,082,525.51/1,009.24
  6. Step 6: Final answer
    x = 1,072.61

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Why These Related Problems?

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