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Finding the Fourth Proportional to 1,019.31, 1,406.61 and 571.16

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Solution

The fourth proportional to 1,019.31, 1,406.61 and 571.16 is: 788.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,019.31 : 1,406.61 = 571.16 : x
  2. Step 2: Convert to fraction form
    1,019.31/1,406.61 = 571.16/x
  3. Step 3: Cross multiply
    1,019.31x = 1,406.61 × 571.16
  4. Step 4: Simplify right side
    1,019.31x = 803,392.33
  5. Step 5: Solve for x
    x = 803,392.33/1,019.31
  6. Step 6: Final answer
    x = 788.17

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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.