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Finding the Fourth Proportional to 1,184.15, 1,632.61 and 970.68

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Solution

The fourth proportional to 1,184.15, 1,632.61 and 970.68 is: 1,338.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,184.15 : 1,632.61 = 970.68 : x
  2. Step 2: Convert to fraction form
    1,184.15/1,632.61 = 970.68/x
  3. Step 3: Cross multiply
    1,184.15x = 1,632.61 × 970.68
  4. Step 4: Simplify right side
    1,184.15x = 1,584,741.87
  5. Step 5: Solve for x
    x = 1,584,741.87/1,184.15
  6. Step 6: Final answer
    x = 1,338.29

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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.