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Finding the Fourth Proportional to 1,768.60, 2,652.74 and 598.70

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Solution

The fourth proportional to 1,768.60, 2,652.74 and 598.70 is: 898.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,768.60 : 2,652.74 = 598.70 : x
  2. Step 2: Convert to fraction form
    1,768.60/2,652.74 = 598.70/x
  3. Step 3: Cross multiply
    1,768.60x = 2,652.74 × 598.70
  4. Step 4: Simplify right side
    1,768.60x = 1,588,195.44
  5. Step 5: Solve for x
    x = 1,588,195.44/1,768.60
  6. Step 6: Final answer
    x = 898.00

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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.