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Finding the Fourth Proportional to 987.23, 1,361.49 and 632.75

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Solution

The fourth proportional to 987.23, 1,361.49 and 632.75 is: 872.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    987.23 : 1,361.49 = 632.75 : x
  2. Step 2: Convert to fraction form
    987.23/1,361.49 = 632.75/x
  3. Step 3: Cross multiply
    987.23x = 1,361.49 × 632.75
  4. Step 4: Simplify right side
    987.23x = 861,482.80
  5. Step 5: Solve for x
    x = 861,482.80/987.23
  6. Step 6: Final answer
    x = 872.63

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Double scale
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1.5x scale

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.