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Finding the Fourth Proportional to 1,393.74, 1,923.75 and 804.51

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Solution

The fourth proportional to 1,393.74, 1,923.75 and 804.51 is: 1,110.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,393.74 : 1,923.75 = 804.51 : x
  2. Step 2: Convert to fraction form
    1,393.74/1,923.75 = 804.51/x
  3. Step 3: Cross multiply
    1,393.74x = 1,923.75 × 804.51
  4. Step 4: Simplify right side
    1,393.74x = 1,547,676.11
  5. Step 5: Solve for x
    x = 1,547,676.11/1,393.74
  6. Step 6: Final answer
    x = 1,110.45

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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.