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Finding the Fourth Proportional to 987.26, 1,362.56 and 567.77

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Solution

The fourth proportional to 987.26, 1,362.56 and 567.77 is: 783.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    987.26 : 1,362.56 = 567.77 : x
  2. Step 2: Convert to fraction form
    987.26/1,362.56 = 567.77/x
  3. Step 3: Cross multiply
    987.26x = 1,362.56 × 567.77
  4. Step 4: Simplify right side
    987.26x = 773,611.04
  5. Step 5: Solve for x
    x = 773,611.04/987.26
  6. Step 6: Final answer
    x = 783.60

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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.