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Finding the Fourth Proportional to 743.60, 1,114.40 and 378.02

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Solution

The fourth proportional to 743.60, 1,114.40 and 378.02 is: 566.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    743.60 : 1,114.40 = 378.02 : x
  2. Step 2: Convert to fraction form
    743.60/1,114.40 = 378.02/x
  3. Step 3: Cross multiply
    743.60x = 1,114.40 × 378.02
  4. Step 4: Simplify right side
    743.60x = 421,265.49
  5. Step 5: Solve for x
    x = 421,265.49/743.60
  6. Step 6: Final answer
    x = 566.52

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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.