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Finding the Fourth Proportional to 688.50, 1,032.75 and 175.50

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Solution

The fourth proportional to 688.50, 1,032.75 and 175.50 is: 263.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    688.50 : 1,032.75 = 175.50 : x
  2. Step 2: Convert to fraction form
    688.50/1,032.75 = 175.50/x
  3. Step 3: Cross multiply
    688.50x = 1,032.75 × 175.50
  4. Step 4: Simplify right side
    688.50x = 181,247.63
  5. Step 5: Solve for x
    x = 181,247.63/688.50
  6. Step 6: Final answer
    x = 263.25

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.