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Finding the Fourth Proportional to 1,245.87, 1,869.72 and 597.06

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Solution

The fourth proportional to 1,245.87, 1,869.72 and 597.06 is: 896.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,245.87 : 1,869.72 = 597.06 : x
  2. Step 2: Convert to fraction form
    1,245.87/1,869.72 = 597.06/x
  3. Step 3: Cross multiply
    1,245.87x = 1,869.72 × 597.06
  4. Step 4: Simplify right side
    1,245.87x = 1,116,335.02
  5. Step 5: Solve for x
    x = 1,116,335.02/1,245.87
  6. Step 6: Final answer
    x = 896.03

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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.