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Finding the Fourth Proportional to 1,372.02, 2,058.56 and 824.58

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Solution

The fourth proportional to 1,372.02, 2,058.56 and 824.58 is: 1,237.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,372.02 : 2,058.56 = 824.58 : x
  2. Step 2: Convert to fraction form
    1,372.02/2,058.56 = 824.58/x
  3. Step 3: Cross multiply
    1,372.02x = 2,058.56 × 824.58
  4. Step 4: Simplify right side
    1,372.02x = 1,697,443.28
  5. Step 5: Solve for x
    x = 1,697,443.28/1,372.02
  6. Step 6: Final answer
    x = 1,237.19

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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.