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Finding the Fourth Proportional to 1,113.84, 1,536.98 and 641.73

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Solution

The fourth proportional to 1,113.84, 1,536.98 and 641.73 is: 885.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,113.84 : 1,536.98 = 641.73 : x
  2. Step 2: Convert to fraction form
    1,113.84/1,536.98 = 641.73/x
  3. Step 3: Cross multiply
    1,113.84x = 1,536.98 × 641.73
  4. Step 4: Simplify right side
    1,113.84x = 986,322.97
  5. Step 5: Solve for x
    x = 986,322.97/1,113.84
  6. Step 6: Final answer
    x = 885.52

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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.