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Finding the Fourth Proportional to 688.47, 1,032.67 and 277.93

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Solution

The fourth proportional to 688.47, 1,032.67 and 277.93 is: 416.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    688.47 : 1,032.67 = 277.93 : x
  2. Step 2: Convert to fraction form
    688.47/1,032.67 = 277.93/x
  3. Step 3: Cross multiply
    688.47x = 1,032.67 × 277.93
  4. Step 4: Simplify right side
    688.47x = 287,009.97
  5. Step 5: Solve for x
    x = 287,009.97/688.47
  6. Step 6: Final answer
    x = 416.88

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