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Finding the Fourth Proportional to 1,457.55, 2,186.33 and 809.55

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Solution

The fourth proportional to 1,457.55, 2,186.33 and 809.55 is: 1,214.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,457.55 : 2,186.33 = 809.55 : x
  2. Step 2: Convert to fraction form
    1,457.55/2,186.33 = 809.55/x
  3. Step 3: Cross multiply
    1,457.55x = 2,186.33 × 809.55
  4. Step 4: Simplify right side
    1,457.55x = 1,769,939.40
  5. Step 5: Solve for x
    x = 1,769,939.40/1,457.55
  6. Step 6: Final answer
    x = 1,214.33

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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.