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Finding the Fourth Proportional to 1,004.24, 1,506.60 and 346.12

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Solution

The fourth proportional to 1,004.24, 1,506.60 and 346.12 is: 519.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,004.24 : 1,506.60 = 346.12 : x
  2. Step 2: Convert to fraction form
    1,004.24/1,506.60 = 346.12/x
  3. Step 3: Cross multiply
    1,004.24x = 1,506.60 × 346.12
  4. Step 4: Simplify right side
    1,004.24x = 521,464.39
  5. Step 5: Solve for x
    x = 521,464.39/1,004.24
  6. Step 6: Final answer
    x = 519.26

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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.