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Finding the Fourth Proportional to 1,457.60, 2,011.40 and 828.18

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Solution

The fourth proportional to 1,457.60, 2,011.40 and 828.18 is: 1,142.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,457.60 : 2,011.40 = 828.18 : x
  2. Step 2: Convert to fraction form
    1,457.60/2,011.40 = 828.18/x
  3. Step 3: Cross multiply
    1,457.60x = 2,011.40 × 828.18
  4. Step 4: Simplify right side
    1,457.60x = 1,665,801.25
  5. Step 5: Solve for x
    x = 1,665,801.25/1,457.60
  6. Step 6: Final answer
    x = 1,142.84

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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.