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Finding the Fourth Proportional to 743.68, 1,114.08 and 378.64

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Solution

The fourth proportional to 743.68, 1,114.08 and 378.64 is: 567.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    743.68 : 1,114.08 = 378.64 : x
  2. Step 2: Convert to fraction form
    743.68/1,114.08 = 378.64/x
  3. Step 3: Cross multiply
    743.68x = 1,114.08 × 378.64
  4. Step 4: Simplify right side
    743.68x = 421,835.25
  5. Step 5: Solve for x
    x = 421,835.25/743.68
  6. Step 6: Final answer
    x = 567.23

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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.