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Finding the Fourth Proportional to 1,425.93, 2,137.45 and 684.45

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Solution

The fourth proportional to 1,425.93, 2,137.45 and 684.45 is: 1,025.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,425.93 : 2,137.45 = 684.45 : x
  2. Step 2: Convert to fraction form
    1,425.93/2,137.45 = 684.45/x
  3. Step 3: Cross multiply
    1,425.93x = 2,137.45 × 684.45
  4. Step 4: Simplify right side
    1,425.93x = 1,462,966.97
  5. Step 5: Solve for x
    x = 1,462,966.97/1,425.93
  6. Step 6: Final answer
    x = 1,025.97

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1.5x scale

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.