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Finding the Fourth Proportional to 688.50, 1,032.65 and 277.53

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Solution

The fourth proportional to 688.50, 1,032.65 and 277.53 is: 416.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    688.50 : 1,032.65 = 277.53 : x
  2. Step 2: Convert to fraction form
    688.50/1,032.65 = 277.53/x
  3. Step 3: Cross multiply
    688.50x = 1,032.65 × 277.53
  4. Step 4: Simplify right side
    688.50x = 286,589.97
  5. Step 5: Solve for x
    x = 286,589.97/688.50
  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.