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Finding the Fourth Proportional to 987.63, 1,482.34 and 525.80

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Solution

The fourth proportional to 987.63, 1,482.34 and 525.80 is: 789.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    987.63 : 1,482.34 = 525.80 : x
  2. Step 2: Convert to fraction form
    987.63/1,482.34 = 525.80/x
  3. Step 3: Cross multiply
    987.63x = 1,482.34 × 525.80
  4. Step 4: Simplify right side
    987.63x = 779,408.27
  5. Step 5: Solve for x
    x = 779,408.27/987.63
  6. Step 6: Final answer
    x = 789.17

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.