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Finding the Fourth Proportional to 1,188.92, 1,641.06 and 746.81

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Solution

The fourth proportional to 1,188.92, 1,641.06 and 746.81 is: 1,030.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,188.92 : 1,641.06 = 746.81 : x
  2. Step 2: Convert to fraction form
    1,188.92/1,641.06 = 746.81/x
  3. Step 3: Cross multiply
    1,188.92x = 1,641.06 × 746.81
  4. Step 4: Simplify right side
    1,188.92x = 1,225,564.12
  5. Step 5: Solve for x
    x = 1,225,564.12/1,188.92
  6. Step 6: Final answer
    x = 1,030.83

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Why These Related Problems?

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