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Finding the Fourth Proportional to 1,700.16, 2,549.13 and 713.44

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Solution

The fourth proportional to 1,700.16, 2,549.13 and 713.44 is: 1,069.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,700.16 : 2,549.13 = 713.44 : x
  2. Step 2: Convert to fraction form
    1,700.16/2,549.13 = 713.44/x
  3. Step 3: Cross multiply
    1,700.16x = 2,549.13 × 713.44
  4. Step 4: Simplify right side
    1,700.16x = 1,818,651.31
  5. Step 5: Solve for x
    x = 1,818,651.31/1,700.16
  6. Step 6: Final answer
    x = 1,069.69

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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.