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Finding the Fourth Proportional to 1,151.23, 1,588.68 and 627.25

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Solution

The fourth proportional to 1,151.23, 1,588.68 and 627.25 is: 865.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,151.23 : 1,588.68 = 627.25 : x
  2. Step 2: Convert to fraction form
    1,151.23/1,588.68 = 627.25/x
  3. Step 3: Cross multiply
    1,151.23x = 1,588.68 × 627.25
  4. Step 4: Simplify right side
    1,151.23x = 996,499.53
  5. Step 5: Solve for x
    x = 996,499.53/1,151.23
  6. Step 6: Final answer
    x = 865.60

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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.