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Finding the Fourth Proportional to 1,517.82, 2,276.27 and 530.58

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Solution

The fourth proportional to 1,517.82, 2,276.27 and 530.58 is: 795.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,517.82 : 2,276.27 = 530.58 : x
  2. Step 2: Convert to fraction form
    1,517.82/2,276.27 = 530.58/x
  3. Step 3: Cross multiply
    1,517.82x = 2,276.27 × 530.58
  4. Step 4: Simplify right side
    1,517.82x = 1,207,743.34
  5. Step 5: Solve for x
    x = 1,207,743.34/1,517.82
  6. Step 6: Final answer
    x = 795.71

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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.