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Finding the Fourth Proportional to 1,147.01, 1,582.93 and 649.64

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Solution

The fourth proportional to 1,147.01, 1,582.93 and 649.64 is: 896.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,147.01 : 1,582.93 = 649.64 : x
  2. Step 2: Convert to fraction form
    1,147.01/1,582.93 = 649.64/x
  3. Step 3: Cross multiply
    1,147.01x = 1,582.93 × 649.64
  4. Step 4: Simplify right side
    1,147.01x = 1,028,339.41
  5. Step 5: Solve for x
    x = 1,028,339.41/1,147.01
  6. Step 6: Final answer
    x = 896.54

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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.