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Finding the Fourth Proportional to 1,004.82, 1,385.54 and 631.35

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Solution

The fourth proportional to 1,004.82, 1,385.54 and 631.35 is: 870.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,004.82 : 1,385.54 = 631.35 : x
  2. Step 2: Convert to fraction form
    1,004.82/1,385.54 = 631.35/x
  3. Step 3: Cross multiply
    1,004.82x = 1,385.54 × 631.35
  4. Step 4: Simplify right side
    1,004.82x = 874,757.52
  5. Step 5: Solve for x
    x = 874,757.52/1,004.82
  6. Step 6: Final answer
    x = 870.56

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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.