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Finding the Fourth Proportional to 1,004.97, 1,506.88 and 419.34

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Solution

The fourth proportional to 1,004.97, 1,506.88 and 419.34 is: 628.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,004.97 : 1,506.88 = 419.34 : x
  2. Step 2: Convert to fraction form
    1,004.97/1,506.88 = 419.34/x
  3. Step 3: Cross multiply
    1,004.97x = 1,506.88 × 419.34
  4. Step 4: Simplify right side
    1,004.97x = 631,901.23
  5. Step 5: Solve for x
    x = 631,901.23/1,004.97
  6. Step 6: Final answer
    x = 628.77

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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.