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Finding the Fourth Proportional to 1,245.47, 1,868.40 and 595.98

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Solution

The fourth proportional to 1,245.47, 1,868.40 and 595.98 is: 894.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,245.47 : 1,868.40 = 595.98 : x
  2. Step 2: Convert to fraction form
    1,245.47/1,868.40 = 595.98/x
  3. Step 3: Cross multiply
    1,245.47x = 1,868.40 × 595.98
  4. Step 4: Simplify right side
    1,245.47x = 1,113,529.03
  5. Step 5: Solve for x
    x = 1,113,529.03/1,245.47
  6. Step 6: Final answer
    x = 894.07

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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.