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Finding the Fourth Proportional to 987.23, 1,361.93 and 567.48

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Solution

The fourth proportional to 987.23, 1,361.93 and 567.48 is: 782.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    987.23 : 1,361.93 = 567.48 : x
  2. Step 2: Convert to fraction form
    987.23/1,361.93 = 567.48/x
  3. Step 3: Cross multiply
    987.23x = 1,361.93 × 567.48
  4. Step 4: Simplify right side
    987.23x = 772,868.04
  5. Step 5: Solve for x
    x = 772,868.04/987.23
  6. Step 6: Final answer
    x = 782.87

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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.