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Finding the Fourth Proportional to 1,150.66, 1,587.91 and 626.69

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Solution

The fourth proportional to 1,150.66, 1,587.91 and 626.69 is: 864.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,150.66 : 1,587.91 = 626.69 : x
  2. Step 2: Convert to fraction form
    1,150.66/1,587.91 = 626.69/x
  3. Step 3: Cross multiply
    1,150.66x = 1,587.91 × 626.69
  4. Step 4: Simplify right side
    1,150.66x = 995,127.32
  5. Step 5: Solve for x
    x = 995,127.32/1,150.66
  6. Step 6: Final answer
    x = 864.83

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.