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Finding the Fourth Proportional to 916, 1,373.96 and 453.60

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Solution

The fourth proportional to 916, 1,373.96 and 453.60 is: 680.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    916 : 1,373.96 = 453.60 : x
  2. Step 2: Convert to fraction form
    916/1,373.96 = 453.60/x
  3. Step 3: Cross multiply
    916x = 1,373.96 × 453.60
  4. Step 4: Simplify right side
    916x = 623,228.26
  5. Step 5: Solve for x
    x = 623,228.26/916
  6. Step 6: Final answer
    x = 680.38

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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.