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Finding the Fourth Proportional to 1,142.04, 1,709.14 and 835.86

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Solution

The fourth proportional to 1,142.04, 1,709.14 and 835.86 is: 1,250.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,142.04 : 1,709.14 = 835.86 : x
  2. Step 2: Convert to fraction form
    1,142.04/1,709.14 = 835.86/x
  3. Step 3: Cross multiply
    1,142.04x = 1,709.14 × 835.86
  4. Step 4: Simplify right side
    1,142.04x = 1,428,601.76
  5. Step 5: Solve for x
    x = 1,428,601.76/1,142.04
  6. Step 6: Final answer
    x = 1,250.92

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.