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Finding the Fourth Proportional to 1,133.84, 1,701.28 and 517.73

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Solution

The fourth proportional to 1,133.84, 1,701.28 and 517.73 is: 776.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,133.84 : 1,701.28 = 517.73 : x
  2. Step 2: Convert to fraction form
    1,133.84/1,701.28 = 517.73/x
  3. Step 3: Cross multiply
    1,133.84x = 1,701.28 × 517.73
  4. Step 4: Simplify right side
    1,133.84x = 880,808.59
  5. Step 5: Solve for x
    x = 880,808.59/1,133.84
  6. Step 6: Final answer
    x = 776.84

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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.