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Finding the Fourth Proportional to 1,475.13, 2,035.77 and 854.13

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Solution

The fourth proportional to 1,475.13, 2,035.77 and 854.13 is: 1,178.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,475.13 : 2,035.77 = 854.13 : x
  2. Step 2: Convert to fraction form
    1,475.13/2,035.77 = 854.13/x
  3. Step 3: Cross multiply
    1,475.13x = 2,035.77 × 854.13
  4. Step 4: Simplify right side
    1,475.13x = 1,738,812.23
  5. Step 5: Solve for x
    x = 1,738,812.23/1,475.13
  6. Step 6: Final answer
    x = 1,178.75

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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.