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Finding the Fourth Proportional to 1,507.83, 2,262.06 and 534.62

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Solution

The fourth proportional to 1,507.83, 2,262.06 and 534.62 is: 802.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,507.83 : 2,262.06 = 534.62 : x
  2. Step 2: Convert to fraction form
    1,507.83/2,262.06 = 534.62/x
  3. Step 3: Cross multiply
    1,507.83x = 2,262.06 × 534.62
  4. Step 4: Simplify right side
    1,507.83x = 1,209,337.68
  5. Step 5: Solve for x
    x = 1,209,337.68/1,507.83
  6. Step 6: Final answer
    x = 802.04

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