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Finding the Fourth Proportional to 1,558.07, 2,337.45 and 517.98

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Solution

The fourth proportional to 1,558.07, 2,337.45 and 517.98 is: 777.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,558.07 : 2,337.45 = 517.98 : x
  2. Step 2: Convert to fraction form
    1,558.07/2,337.45 = 517.98/x
  3. Step 3: Cross multiply
    1,558.07x = 2,337.45 × 517.98
  4. Step 4: Simplify right side
    1,558.07x = 1,210,759.49
  5. Step 5: Solve for x
    x = 1,210,759.49/1,558.07
  6. Step 6: Final answer
    x = 777.09

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.