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Finding the Fourth Proportional to 1,148.52, 1,582.50 and 1,007.56

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Solution

The fourth proportional to 1,148.52, 1,582.50 and 1,007.56 is: 1,388.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,148.52 : 1,582.50 = 1,007.56 : x
  2. Step 2: Convert to fraction form
    1,148.52/1,582.50 = 1,007.56/x
  3. Step 3: Cross multiply
    1,148.52x = 1,582.50 × 1,007.56
  4. Step 4: Simplify right side
    1,148.52x = 1,594,463.70
  5. Step 5: Solve for x
    x = 1,594,463.70/1,148.52
  6. Step 6: Final answer
    x = 1,388.28

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