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Finding the Fourth Proportional to 1,019.36, 1,406.40 and 709.04

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Solution

The fourth proportional to 1,019.36, 1,406.40 and 709.04 is: 978.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,019.36 : 1,406.40 = 709.04 : x
  2. Step 2: Convert to fraction form
    1,019.36/1,406.40 = 709.04/x
  3. Step 3: Cross multiply
    1,019.36x = 1,406.40 × 709.04
  4. Step 4: Simplify right side
    1,019.36x = 997,193.86
  5. Step 5: Solve for x
    x = 997,193.86/1,019.36
  6. Step 6: Final answer
    x = 978.25

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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.