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Finding the Fourth Proportional to 1,057.95, 1,459.55 and 685.14

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Solution

The fourth proportional to 1,057.95, 1,459.55 and 685.14 is: 945.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,057.95 : 1,459.55 = 685.14 : x
  2. Step 2: Convert to fraction form
    1,057.95/1,459.55 = 685.14/x
  3. Step 3: Cross multiply
    1,057.95x = 1,459.55 × 685.14
  4. Step 4: Simplify right side
    1,057.95x = 999,992.66
  5. Step 5: Solve for x
    x = 999,992.66/1,057.95
  6. Step 6: Final answer
    x = 945.22

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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.