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Finding the Fourth Proportional to 1,151.93, 1,589.58 and 654.58

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Solution

The fourth proportional to 1,151.93, 1,589.58 and 654.58 is: 903.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,151.93 : 1,589.58 = 654.58 : x
  2. Step 2: Convert to fraction form
    1,151.93/1,589.58 = 654.58/x
  3. Step 3: Cross multiply
    1,151.93x = 1,589.58 × 654.58
  4. Step 4: Simplify right side
    1,151.93x = 1,040,507.28
  5. Step 5: Solve for x
    x = 1,040,507.28/1,151.93
  6. Step 6: Final answer
    x = 903.27

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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.