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Finding the Fourth Proportional to 1,190.66, 1,642.98 and 666.68

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Solution

The fourth proportional to 1,190.66, 1,642.98 and 666.68 is: 919.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,190.66 : 1,642.98 = 666.68 : x
  2. Step 2: Convert to fraction form
    1,190.66/1,642.98 = 666.68/x
  3. Step 3: Cross multiply
    1,190.66x = 1,642.98 × 666.68
  4. Step 4: Simplify right side
    1,190.66x = 1,095,341.91
  5. Step 5: Solve for x
    x = 1,095,341.91/1,190.66
  6. Step 6: Final answer
    x = 919.95

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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.