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Finding the Fourth Proportional to 1,315.54, 1,973.01 and 584.72

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Solution

The fourth proportional to 1,315.54, 1,973.01 and 584.72 is: 876.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,315.54 : 1,973.01 = 584.72 : x
  2. Step 2: Convert to fraction form
    1,315.54/1,973.01 = 584.72/x
  3. Step 3: Cross multiply
    1,315.54x = 1,973.01 × 584.72
  4. Step 4: Simplify right side
    1,315.54x = 1,153,654.84
  5. Step 5: Solve for x
    x = 1,153,654.84/1,315.54
  6. Step 6: Final answer
    x = 876.94

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