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Finding the Fourth Proportional to 1,001.76, 1,382.56 and 958.08

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Solution

The fourth proportional to 1,001.76, 1,382.56 and 958.08 is: 1,322.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,001.76 : 1,382.56 = 958.08 : x
  2. Step 2: Convert to fraction form
    1,001.76/1,382.56 = 958.08/x
  3. Step 3: Cross multiply
    1,001.76x = 1,382.56 × 958.08
  4. Step 4: Simplify right side
    1,001.76x = 1,324,603.08
  5. Step 5: Solve for x
    x = 1,324,603.08/1,001.76
  6. Step 6: Final answer
    x = 1,322.28

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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.