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Finding the Fourth Proportional to 1,057.25, 1,582.44 and 956.21

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Solution

The fourth proportional to 1,057.25, 1,582.44 and 956.21 is: 1,431.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,057.25 : 1,582.44 = 956.21 : x
  2. Step 2: Convert to fraction form
    1,057.25/1,582.44 = 956.21/x
  3. Step 3: Cross multiply
    1,057.25x = 1,582.44 × 956.21
  4. Step 4: Simplify right side
    1,057.25x = 1,513,133.45
  5. Step 5: Solve for x
    x = 1,513,133.45/1,057.25
  6. Step 6: Final answer
    x = 1,431.19

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.