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Finding the Fourth Proportional to 1,151.07, 1,588.49 and 627.11

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Solution

The fourth proportional to 1,151.07, 1,588.49 and 627.11 is: 865.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,151.07 : 1,588.49 = 627.11 : x
  2. Step 2: Convert to fraction form
    1,151.07/1,588.49 = 627.11/x
  3. Step 3: Cross multiply
    1,151.07x = 1,588.49 × 627.11
  4. Step 4: Simplify right side
    1,151.07x = 996,146.89
  5. Step 5: Solve for x
    x = 996,146.89/1,151.07
  6. Step 6: Final answer
    x = 865.41

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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.