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Finding the Fourth Proportional to 1,316.55, 1,975.19 and 392.11

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Solution

The fourth proportional to 1,316.55, 1,975.19 and 392.11 is: 588.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,316.55 : 1,975.19 = 392.11 : x
  2. Step 2: Convert to fraction form
    1,316.55/1,975.19 = 392.11/x
  3. Step 3: Cross multiply
    1,316.55x = 1,975.19 × 392.11
  4. Step 4: Simplify right side
    1,316.55x = 774,491.75
  5. Step 5: Solve for x
    x = 774,491.75/1,316.55
  6. Step 6: Final answer
    x = 588.27

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.