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Finding the Fourth Proportional to 929.64, 1,282.26 and 597.54

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Solution

The fourth proportional to 929.64, 1,282.26 and 597.54 is: 824.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    929.64 : 1,282.26 = 597.54 : x
  2. Step 2: Convert to fraction form
    929.64/1,282.26 = 597.54/x
  3. Step 3: Cross multiply
    929.64x = 1,282.26 × 597.54
  4. Step 4: Simplify right side
    929.64x = 766,201.64
  5. Step 5: Solve for x
    x = 766,201.64/929.64
  6. Step 6: Final answer
    x = 824.19

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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.