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Finding the Fourth Proportional to 1,164.18, 1,754.28 and 963.26

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Solution

The fourth proportional to 1,164.18, 1,754.28 and 963.26 is: 1,451.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,164.18 : 1,754.28 = 963.26 : x
  2. Step 2: Convert to fraction form
    1,164.18/1,754.28 = 963.26/x
  3. Step 3: Cross multiply
    1,164.18x = 1,754.28 × 963.26
  4. Step 4: Simplify right side
    1,164.18x = 1,689,832.14
  5. Step 5: Solve for x
    x = 1,689,832.14/1,164.18
  6. Step 6: Final answer
    x = 1,451.52

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.