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Finding the Fourth Proportional to 1,245.24, 1,868.04 and 595.44

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Solution

The fourth proportional to 1,245.24, 1,868.04 and 595.44 is: 893.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,245.24 : 1,868.04 = 595.44 : x
  2. Step 2: Convert to fraction form
    1,245.24/1,868.04 = 595.44/x
  3. Step 3: Cross multiply
    1,245.24x = 1,868.04 × 595.44
  4. Step 4: Simplify right side
    1,245.24x = 1,112,305.74
  5. Step 5: Solve for x
    x = 1,112,305.74/1,245.24
  6. Step 6: Final answer
    x = 893.25

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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.