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Finding the Fourth Proportional to 891.51, 1,336.57 and 616.80

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Solution

The fourth proportional to 891.51, 1,336.57 and 616.80 is: 924.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    891.51 : 1,336.57 = 616.80 : x
  2. Step 2: Convert to fraction form
    891.51/1,336.57 = 616.80/x
  3. Step 3: Cross multiply
    891.51x = 1,336.57 × 616.80
  4. Step 4: Simplify right side
    891.51x = 824,396.38
  5. Step 5: Solve for x
    x = 824,396.38/891.51
  6. Step 6: Final answer
    x = 924.72

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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.