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Finding the Fourth Proportional to 1,150.05, 1,587.07 and 626.07

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Solution

The fourth proportional to 1,150.05, 1,587.07 and 626.07 is: 863.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,150.05 : 1,587.07 = 626.07 : x
  2. Step 2: Convert to fraction form
    1,150.05/1,587.07 = 626.07/x
  3. Step 3: Cross multiply
    1,150.05x = 1,587.07 × 626.07
  4. Step 4: Simplify right side
    1,150.05x = 993,616.91
  5. Step 5: Solve for x
    x = 993,616.91/1,150.05
  6. Step 6: Final answer
    x = 863.98

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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.