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Finding the Fourth Proportional to 1,079.15, 1,617.90 and 713.03

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Solution

The fourth proportional to 1,079.15, 1,617.90 and 713.03 is: 1,069.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,079.15 : 1,617.90 = 713.03 : x
  2. Step 2: Convert to fraction form
    1,079.15/1,617.90 = 713.03/x
  3. Step 3: Cross multiply
    1,079.15x = 1,617.90 × 713.03
  4. Step 4: Simplify right side
    1,079.15x = 1,153,611.24
  5. Step 5: Solve for x
    x = 1,153,611.24/1,079.15
  6. Step 6: Final answer
    x = 1,069.00

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.