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Finding the Fourth Proportional to 929.51, 1,394.63 and 409.23

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Solution

The fourth proportional to 929.51, 1,394.63 and 409.23 is: 614.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    929.51 : 1,394.63 = 409.23 : x
  2. Step 2: Convert to fraction form
    929.51/1,394.63 = 409.23/x
  3. Step 3: Cross multiply
    929.51x = 1,394.63 × 409.23
  4. Step 4: Simplify right side
    929.51x = 570,724.43
  5. Step 5: Solve for x
    x = 570,724.43/929.51
  6. Step 6: Final answer
    x = 614.01

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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.