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Finding the Fourth Proportional to 1,190.84, 1,642.57 and 718.42

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Solution

The fourth proportional to 1,190.84, 1,642.57 and 718.42 is: 990.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,190.84 : 1,642.57 = 718.42 : x
  2. Step 2: Convert to fraction form
    1,190.84/1,642.57 = 718.42/x
  3. Step 3: Cross multiply
    1,190.84x = 1,642.57 × 718.42
  4. Step 4: Simplify right side
    1,190.84x = 1,180,055.14
  5. Step 5: Solve for x
    x = 1,180,055.14/1,190.84
  6. Step 6: Final answer
    x = 990.94

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1.5x scale

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.