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Finding the Fourth Proportional to 1,212.48, 1,674 and 1,058.04

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Solution

The fourth proportional to 1,212.48, 1,674 and 1,058.04 is: 1,460.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,212.48 : 1,674 = 1,058.04 : x
  2. Step 2: Convert to fraction form
    1,212.48/1,674 = 1,058.04/x
  3. Step 3: Cross multiply
    1,212.48x = 1,674 × 1,058.04
  4. Step 4: Simplify right side
    1,212.48x = 1,771,158.96
  5. Step 5: Solve for x
    x = 1,771,158.96/1,212.48
  6. Step 6: Final answer
    x = 1,460.77

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.