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Finding the Fourth Proportional to 987.18, 1,362.13 and 567.43

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Solution

The fourth proportional to 987.18, 1,362.13 and 567.43 is: 782.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    987.18 : 1,362.13 = 567.43 : x
  2. Step 2: Convert to fraction form
    987.18/1,362.13 = 567.43/x
  3. Step 3: Cross multiply
    987.18x = 1,362.13 × 567.43
  4. Step 4: Simplify right side
    987.18x = 772,913.43
  5. Step 5: Solve for x
    x = 772,913.43/987.18
  6. Step 6: Final answer
    x = 782.95

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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.