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Finding the Fourth Proportional to 1,057.01, 1,457.86 and 807.71

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Solution

The fourth proportional to 1,057.01, 1,457.86 and 807.71 is: 1,114.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,057.01 : 1,457.86 = 807.71 : x
  2. Step 2: Convert to fraction form
    1,057.01/1,457.86 = 807.71/x
  3. Step 3: Cross multiply
    1,057.01x = 1,457.86 × 807.71
  4. Step 4: Simplify right side
    1,057.01x = 1,177,524.06
  5. Step 5: Solve for x
    x = 1,177,524.06/1,057.01
  6. Step 6: Final answer
    x = 1,114.01

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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.