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Finding the Fourth Proportional to 987.18, 1,364.01 and 952.14

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Solution

The fourth proportional to 987.18, 1,364.01 and 952.14 is: 1,315.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    987.18 : 1,364.01 = 952.14 : x
  2. Step 2: Convert to fraction form
    987.18/1,364.01 = 952.14/x
  3. Step 3: Cross multiply
    987.18x = 1,364.01 × 952.14
  4. Step 4: Simplify right side
    987.18x = 1,298,728.48
  5. Step 5: Solve for x
    x = 1,298,728.48/987.18
  6. Step 6: Final answer
    x = 1,315.59

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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.