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Finding the Fourth Proportional to 1,416.29, 2,124.86 and 685.89

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Solution

The fourth proportional to 1,416.29, 2,124.86 and 685.89 is: 1,029.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,416.29 : 2,124.86 = 685.89 : x
  2. Step 2: Convert to fraction form
    1,416.29/2,124.86 = 685.89/x
  3. Step 3: Cross multiply
    1,416.29x = 2,124.86 × 685.89
  4. Step 4: Simplify right side
    1,416.29x = 1,457,416.80
  5. Step 5: Solve for x
    x = 1,457,416.80/1,416.29
  6. Step 6: Final answer
    x = 1,029.04

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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.