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Finding the Fourth Proportional to 987.45, 1,364.22 and 752.19

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Solution

The fourth proportional to 987.45, 1,364.22 and 752.19 is: 1,039.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    987.45 : 1,364.22 = 752.19 : x
  2. Step 2: Convert to fraction form
    987.45/1,364.22 = 752.19/x
  3. Step 3: Cross multiply
    987.45x = 1,364.22 × 752.19
  4. Step 4: Simplify right side
    987.45x = 1,026,152.64
  5. Step 5: Solve for x
    x = 1,026,152.64/987.45
  6. Step 6: Final answer
    x = 1,039.20

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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.