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Finding the Fourth Proportional to 1,688.16, 2,532.75 and 592.53

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Solution

The fourth proportional to 1,688.16, 2,532.75 and 592.53 is: 888.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,688.16 : 2,532.75 = 592.53 : x
  2. Step 2: Convert to fraction form
    1,688.16/2,532.75 = 592.53/x
  3. Step 3: Cross multiply
    1,688.16x = 2,532.75 × 592.53
  4. Step 4: Simplify right side
    1,688.16x = 1,500,730.36
  5. Step 5: Solve for x
    x = 1,500,730.36/1,688.16
  6. Step 6: Final answer
    x = 888.97

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