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Finding the Fourth Proportional to 1,064.64, 1,597.37 and 371.39

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Solution

The fourth proportional to 1,064.64, 1,597.37 and 371.39 is: 557.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,064.64 : 1,597.37 = 371.39 : x
  2. Step 2: Convert to fraction form
    1,064.64/1,597.37 = 371.39/x
  3. Step 3: Cross multiply
    1,064.64x = 1,597.37 × 371.39
  4. Step 4: Simplify right side
    1,064.64x = 593,237.40
  5. Step 5: Solve for x
    x = 593,237.40/1,064.64
  6. Step 6: Final answer
    x = 557.22

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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.