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Finding the Fourth Proportional to 1,231, 1,700.24 and 837.36

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Solution

The fourth proportional to 1,231, 1,700.24 and 837.36 is: 1,156.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,231 : 1,700.24 = 837.36 : x
  2. Step 2: Convert to fraction form
    1,231/1,700.24 = 837.36/x
  3. Step 3: Cross multiply
    1,231x = 1,700.24 × 837.36
  4. Step 4: Simplify right side
    1,231x = 1,423,712.97
  5. Step 5: Solve for x
    x = 1,423,712.97/1,231
  6. Step 6: Final answer
    x = 1,156.55

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.