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Finding the Fourth Proportional to 1,425.10, 1,966.81 and 835.63

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Solution

The fourth proportional to 1,425.10, 1,966.81 and 835.63 is: 1,153.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,425.10 : 1,966.81 = 835.63 : x
  2. Step 2: Convert to fraction form
    1,425.10/1,966.81 = 835.63/x
  3. Step 3: Cross multiply
    1,425.10x = 1,966.81 × 835.63
  4. Step 4: Simplify right side
    1,425.10x = 1,643,525.44
  5. Step 5: Solve for x
    x = 1,643,525.44/1,425.10
  6. Step 6: Final answer
    x = 1,153.27

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1.5x scale

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.