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Finding the Fourth Proportional to 880.88, 1,216.06 and 601.50

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Solution

The fourth proportional to 880.88, 1,216.06 and 601.50 is: 830.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    880.88 : 1,216.06 = 601.50 : x
  2. Step 2: Convert to fraction form
    880.88/1,216.06 = 601.50/x
  3. Step 3: Cross multiply
    880.88x = 1,216.06 × 601.50
  4. Step 4: Simplify right side
    880.88x = 731,463.11
  5. Step 5: Solve for x
    x = 731,463.11/880.88
  6. Step 6: Final answer
    x = 830.38

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.