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Finding the Fourth Proportional to 730.22, 1,094.88 and 291.53

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Solution

The fourth proportional to 730.22, 1,094.88 and 291.53 is: 437.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    730.22 : 1,094.88 = 291.53 : x
  2. Step 2: Convert to fraction form
    730.22/1,094.88 = 291.53/x
  3. Step 3: Cross multiply
    730.22x = 1,094.88 × 291.53
  4. Step 4: Simplify right side
    730.22x = 319,192.01
  5. Step 5: Solve for x
    x = 319,192.01/730.22
  6. Step 6: Final answer
    x = 437.12

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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.