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Finding the Fourth Proportional to 1,150.84, 1,588.12 and 626.88

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Solution

The fourth proportional to 1,150.84, 1,588.12 and 626.88 is: 865.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,150.84 : 1,588.12 = 626.88 : x
  2. Step 2: Convert to fraction form
    1,150.84/1,588.12 = 626.88/x
  3. Step 3: Cross multiply
    1,150.84x = 1,588.12 × 626.88
  4. Step 4: Simplify right side
    1,150.84x = 995,560.67
  5. Step 5: Solve for x
    x = 995,560.67/1,150.84
  6. Step 6: Final answer
    x = 865.07

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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.