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Finding the Fourth Proportional to 688.62, 1,032.69 and 277.65

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Solution

The fourth proportional to 688.62, 1,032.69 and 277.65 is: 416.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    688.62 : 1,032.69 = 277.65 : x
  2. Step 2: Convert to fraction form
    688.62/1,032.69 = 277.65/x
  3. Step 3: Cross multiply
    688.62x = 1,032.69 × 277.65
  4. Step 4: Simplify right side
    688.62x = 286,726.38
  5. Step 5: Solve for x
    x = 286,726.38/688.62
  6. Step 6: Final answer
    x = 416.38

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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.