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Finding the Fourth Proportional to 1,151.05, 1,588.41 and 627.08

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Solution

The fourth proportional to 1,151.05, 1,588.41 and 627.08 is: 865.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,151.05 : 1,588.41 = 627.08 : x
  2. Step 2: Convert to fraction form
    1,151.05/1,588.41 = 627.08/x
  3. Step 3: Cross multiply
    1,151.05x = 1,588.41 × 627.08
  4. Step 4: Simplify right side
    1,151.05x = 996,060.14
  5. Step 5: Solve for x
    x = 996,060.14/1,151.05
  6. Step 6: Final answer
    x = 865.35

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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.