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Finding the Fourth Proportional to 1,373.68, 2,058.22 and 642.79

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Solution

The fourth proportional to 1,373.68, 2,058.22 and 642.79 is: 963.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,373.68 : 2,058.22 = 642.79 : x
  2. Step 2: Convert to fraction form
    1,373.68/2,058.22 = 642.79/x
  3. Step 3: Cross multiply
    1,373.68x = 2,058.22 × 642.79
  4. Step 4: Simplify right side
    1,373.68x = 1,323,003.23
  5. Step 5: Solve for x
    x = 1,323,003.23/1,373.68
  6. Step 6: Final answer
    x = 963.11

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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.