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Finding the Fourth Proportional to 1,190.96, 1,642.75 and 748.47

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Solution

The fourth proportional to 1,190.96, 1,642.75 and 748.47 is: 1,032.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,190.96 : 1,642.75 = 748.47 : x
  2. Step 2: Convert to fraction form
    1,190.96/1,642.75 = 748.47/x
  3. Step 3: Cross multiply
    1,190.96x = 1,642.75 × 748.47
  4. Step 4: Simplify right side
    1,190.96x = 1,229,549.09
  5. Step 5: Solve for x
    x = 1,229,549.09/1,190.96
  6. Step 6: Final answer
    x = 1,032.40

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Double scale
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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.