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Finding the Fourth Proportional to 1,558.22, 2,335.68 and 517.95

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Solution

The fourth proportional to 1,558.22, 2,335.68 and 517.95 is: 776.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,558.22 : 2,335.68 = 517.95 : x
  2. Step 2: Convert to fraction form
    1,558.22/2,335.68 = 517.95/x
  3. Step 3: Cross multiply
    1,558.22x = 2,335.68 × 517.95
  4. Step 4: Simplify right side
    1,558.22x = 1,209,765.46
  5. Step 5: Solve for x
    x = 1,209,765.46/1,558.22
  6. Step 6: Final answer
    x = 776.38

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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.