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Finding the Fourth Proportional to 931.03, 1,275.52 and 896.00

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Solution

The fourth proportional to 931.03, 1,275.52 and 896.00 is: 1,227.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    931.03 : 1,275.52 = 896.00 : x
  2. Step 2: Convert to fraction form
    931.03/1,275.52 = 896.00/x
  3. Step 3: Cross multiply
    931.03x = 1,275.52 × 896.00
  4. Step 4: Simplify right side
    931.03x = 1,142,868.48
  5. Step 5: Solve for x
    x = 1,142,868.48/931.03
  6. Step 6: Final answer
    x = 1,227.53

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.