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Finding the Fourth Proportional to 1,019.55, 1,406.96 and 571.41

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Solution

The fourth proportional to 1,019.55, 1,406.96 and 571.41 is: 788.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,019.55 : 1,406.96 = 571.41 : x
  2. Step 2: Convert to fraction form
    1,019.55/1,406.96 = 571.41/x
  3. Step 3: Cross multiply
    1,019.55x = 1,406.96 × 571.41
  4. Step 4: Simplify right side
    1,019.55x = 803,948.16
  5. Step 5: Solve for x
    x = 803,948.16/1,019.55
  6. Step 6: Final answer
    x = 788.53

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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.