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Finding the Fourth Proportional to 1,029.74, 1,420.51 and 689.16

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Solution

The fourth proportional to 1,029.74, 1,420.51 and 689.16 is: 950.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,029.74 : 1,420.51 = 689.16 : x
  2. Step 2: Convert to fraction form
    1,029.74/1,420.51 = 689.16/x
  3. Step 3: Cross multiply
    1,029.74x = 1,420.51 × 689.16
  4. Step 4: Simplify right side
    1,029.74x = 978,958.67
  5. Step 5: Solve for x
    x = 978,958.67/1,029.74
  6. Step 6: Final answer
    x = 950.69

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.