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Finding the Fourth Proportional to 687.10, 1,029.72 and 275.98

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Solution

The fourth proportional to 687.10, 1,029.72 and 275.98 is: 413.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    687.10 : 1,029.72 = 275.98 : x
  2. Step 2: Convert to fraction form
    687.10/1,029.72 = 275.98/x
  3. Step 3: Cross multiply
    687.10x = 1,029.72 × 275.98
  4. Step 4: Simplify right side
    687.10x = 284,182.13
  5. Step 5: Solve for x
    x = 284,182.13/687.10
  6. Step 6: Final answer
    x = 413.60

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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.