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Finding the Fourth Proportional to 1,475, 2,035.62 and 854.12

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Solution

The fourth proportional to 1,475, 2,035.62 and 854.12 is: 1,178.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,475 : 2,035.62 = 854.12 : x
  2. Step 2: Convert to fraction form
    1,475/2,035.62 = 854.12/x
  3. Step 3: Cross multiply
    1,475x = 2,035.62 × 854.12
  4. Step 4: Simplify right side
    1,475x = 1,738,663.75
  5. Step 5: Solve for x
    x = 1,738,663.75/1,475
  6. Step 6: Final answer
    x = 1,178.76

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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.