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Finding the Fourth Proportional to 1,558.64, 2,337.76 and 518.30

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Solution

The fourth proportional to 1,558.64, 2,337.76 and 518.30 is: 777.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,558.64 : 2,337.76 = 518.30 : x
  2. Step 2: Convert to fraction form
    1,558.64/2,337.76 = 518.30/x
  3. Step 3: Cross multiply
    1,558.64x = 2,337.76 × 518.30
  4. Step 4: Simplify right side
    1,558.64x = 1,211,658.73
  5. Step 5: Solve for x
    x = 1,211,658.73/1,558.64
  6. Step 6: Final answer
    x = 777.38

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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.