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Finding the Fourth Proportional to 987.88, 1,363.44 and 594.94

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Solution

The fourth proportional to 987.88, 1,363.44 and 594.94 is: 821.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    987.88 : 1,363.44 = 594.94 : x
  2. Step 2: Convert to fraction form
    987.88/1,363.44 = 594.94/x
  3. Step 3: Cross multiply
    987.88x = 1,363.44 × 594.94
  4. Step 4: Simplify right side
    987.88x = 811,164.99
  5. Step 5: Solve for x
    x = 811,164.99/987.88
  6. Step 6: Final answer
    x = 821.12

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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.