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Finding the Fourth Proportional to 1,204.53, 1,806.72 and 371.58

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Solution

The fourth proportional to 1,204.53, 1,806.72 and 371.58 is: 557.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,204.53 : 1,806.72 = 371.58 : x
  2. Step 2: Convert to fraction form
    1,204.53/1,806.72 = 371.58/x
  3. Step 3: Cross multiply
    1,204.53x = 1,806.72 × 371.58
  4. Step 4: Simplify right side
    1,204.53x = 671,341.02
  5. Step 5: Solve for x
    x = 671,341.02/1,204.53
  6. Step 6: Final answer
    x = 557.35

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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.