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Finding the Fourth Proportional to 730.60, 1,094.16 and 421.80

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Solution

The fourth proportional to 730.60, 1,094.16 and 421.80 is: 631.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    730.60 : 1,094.16 = 421.80 : x
  2. Step 2: Convert to fraction form
    730.60/1,094.16 = 421.80/x
  3. Step 3: Cross multiply
    730.60x = 1,094.16 × 421.80
  4. Step 4: Simplify right side
    730.60x = 461,516.69
  5. Step 5: Solve for x
    x = 461,516.69/730.60
  6. Step 6: Final answer
    x = 631.70

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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.