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Finding the Fourth Proportional to 794.16, 1,094.57 and 597.33

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Solution

The fourth proportional to 794.16, 1,094.57 and 597.33 is: 823.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    794.16 : 1,094.57 = 597.33 : x
  2. Step 2: Convert to fraction form
    794.16/1,094.57 = 597.33/x
  3. Step 3: Cross multiply
    794.16x = 1,094.57 × 597.33
  4. Step 4: Simplify right side
    794.16x = 653,816.51
  5. Step 5: Solve for x
    x = 653,816.51/794.16
  6. Step 6: Final answer
    x = 823.28

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.