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Finding the Fourth Proportional to 912.96, 1,365.12 and 615.60

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Solution

The fourth proportional to 912.96, 1,365.12 and 615.60 is: 920.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    912.96 : 1,365.12 = 615.60 : x
  2. Step 2: Convert to fraction form
    912.96/1,365.12 = 615.60/x
  3. Step 3: Cross multiply
    912.96x = 1,365.12 × 615.60
  4. Step 4: Simplify right side
    912.96x = 840,367.87
  5. Step 5: Solve for x
    x = 840,367.87/912.96
  6. Step 6: Final answer
    x = 920.49

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Why These Related Problems?

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