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Finding the Fourth Proportional to 1,150.47, 1,587.59 and 626.50

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Solution

The fourth proportional to 1,150.47, 1,587.59 and 626.50 is: 864.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,150.47 : 1,587.59 = 626.50 : x
  2. Step 2: Convert to fraction form
    1,150.47/1,587.59 = 626.50/x
  3. Step 3: Cross multiply
    1,150.47x = 1,587.59 × 626.50
  4. Step 4: Simplify right side
    1,150.47x = 994,625.14
  5. Step 5: Solve for x
    x = 994,625.14/1,150.47
  6. Step 6: Final answer
    x = 864.54

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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.