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Finding the Fourth Proportional to 688.03, 1,032.35 and 277.97

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Solution

The fourth proportional to 688.03, 1,032.35 and 277.97 is: 417.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    688.03 : 1,032.35 = 277.97 : x
  2. Step 2: Convert to fraction form
    688.03/1,032.35 = 277.97/x
  3. Step 3: Cross multiply
    688.03x = 1,032.35 × 277.97
  4. Step 4: Simplify right side
    688.03x = 286,959.05
  5. Step 5: Solve for x
    x = 286,959.05/688.03
  6. Step 6: Final answer
    x = 417.07

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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.