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Finding the Fourth Proportional to 1,190.02, 1,642.23 and 666.06

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Solution

The fourth proportional to 1,190.02, 1,642.23 and 666.06 is: 919.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,190.02 : 1,642.23 = 666.06 : x
  2. Step 2: Convert to fraction form
    1,190.02/1,642.23 = 666.06/x
  3. Step 3: Cross multiply
    1,190.02x = 1,642.23 × 666.06
  4. Step 4: Simplify right side
    1,190.02x = 1,093,823.71
  5. Step 5: Solve for x
    x = 1,093,823.71/1,190.02
  6. Step 6: Final answer
    x = 919.16

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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.