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Finding the Fourth Proportional to 1,015.79, 1,401.93 and 573.84

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Solution

The fourth proportional to 1,015.79, 1,401.93 and 573.84 is: 791.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,015.79 : 1,401.93 = 573.84 : x
  2. Step 2: Convert to fraction form
    1,015.79/1,401.93 = 573.84/x
  3. Step 3: Cross multiply
    1,015.79x = 1,401.93 × 573.84
  4. Step 4: Simplify right side
    1,015.79x = 804,483.51
  5. Step 5: Solve for x
    x = 804,483.51/1,015.79
  6. Step 6: Final answer
    x = 791.98

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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.