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Finding the Fourth Proportional to 1,457.94, 2,011.96 and 860.44

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Solution

The fourth proportional to 1,457.94, 2,011.96 and 860.44 is: 1,187.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,457.94 : 2,011.96 = 860.44 : x
  2. Step 2: Convert to fraction form
    1,457.94/2,011.96 = 860.44/x
  3. Step 3: Cross multiply
    1,457.94x = 2,011.96 × 860.44
  4. Step 4: Simplify right side
    1,457.94x = 1,731,160.80
  5. Step 5: Solve for x
    x = 1,731,160.80/1,457.94
  6. Step 6: Final answer
    x = 1,187.40

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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.