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Finding the Fourth Proportional to 1,004.24, 1,385.90 and 709.60

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Solution

The fourth proportional to 1,004.24, 1,385.90 and 709.60 is: 979.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,004.24 : 1,385.90 = 709.60 : x
  2. Step 2: Convert to fraction form
    1,004.24/1,385.90 = 709.60/x
  3. Step 3: Cross multiply
    1,004.24x = 1,385.90 × 709.60
  4. Step 4: Simplify right side
    1,004.24x = 983,434.64
  5. Step 5: Solve for x
    x = 983,434.64/1,004.24
  6. Step 6: Final answer
    x = 979.28

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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.