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Finding the Fourth Proportional to 687.98, 1,032.34 and 277.40

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Solution

The fourth proportional to 687.98, 1,032.34 and 277.40 is: 416.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    687.98 : 1,032.34 = 277.40 : x
  2. Step 2: Convert to fraction form
    687.98/1,032.34 = 277.40/x
  3. Step 3: Cross multiply
    687.98x = 1,032.34 × 277.40
  4. Step 4: Simplify right side
    687.98x = 286,371.12
  5. Step 5: Solve for x
    x = 286,371.12/687.98
  6. Step 6: Final answer
    x = 416.25

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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.