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Finding the Fourth Proportional to 1,004.04, 1,386.44 and 631.64

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Solution

The fourth proportional to 1,004.04, 1,386.44 and 631.64 is: 872.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,004.04 : 1,386.44 = 631.64 : x
  2. Step 2: Convert to fraction form
    1,004.04/1,386.44 = 631.64/x
  3. Step 3: Cross multiply
    1,004.04x = 1,386.44 × 631.64
  4. Step 4: Simplify right side
    1,004.04x = 875,730.96
  5. Step 5: Solve for x
    x = 875,730.96/1,004.04
  6. Step 6: Final answer
    x = 872.21

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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.