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Finding the Fourth Proportional to 1,033.76, 1,428.36 and 836.93

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Solution

The fourth proportional to 1,033.76, 1,428.36 and 836.93 is: 1,156.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,033.76 : 1,428.36 = 836.93 : x
  2. Step 2: Convert to fraction form
    1,033.76/1,428.36 = 836.93/x
  3. Step 3: Cross multiply
    1,033.76x = 1,428.36 × 836.93
  4. Step 4: Simplify right side
    1,033.76x = 1,195,437.33
  5. Step 5: Solve for x
    x = 1,195,437.33/1,033.76
  6. Step 6: Final answer
    x = 1,156.40

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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.