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Finding the Fourth Proportional to 975.62, 1,461.66 and 563.89

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Solution

The fourth proportional to 975.62, 1,461.66 and 563.89 is: 844.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    975.62 : 1,461.66 = 563.89 : x
  2. Step 2: Convert to fraction form
    975.62/1,461.66 = 563.89/x
  3. Step 3: Cross multiply
    975.62x = 1,461.66 × 563.89
  4. Step 4: Simplify right side
    975.62x = 824,205.33
  5. Step 5: Solve for x
    x = 824,205.33/975.62
  6. Step 6: Final answer
    x = 844.80

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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.