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Finding the Fourth Proportional to 1,457.40, 2,011.86 and 868.14

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Solution

The fourth proportional to 1,457.40, 2,011.86 and 868.14 is: 1,198.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,457.40 : 2,011.86 = 868.14 : x
  2. Step 2: Convert to fraction form
    1,457.40/2,011.86 = 868.14/x
  3. Step 3: Cross multiply
    1,457.40x = 2,011.86 × 868.14
  4. Step 4: Simplify right side
    1,457.40x = 1,746,576.14
  5. Step 5: Solve for x
    x = 1,746,576.14/1,457.40
  6. Step 6: Final answer
    x = 1,198.42

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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.