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Finding the Fourth Proportional to 987.94, 1,482.62 and 577.20

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Solution

The fourth proportional to 987.94, 1,482.62 and 577.20 is: 866.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    987.94 : 1,482.62 = 577.20 : x
  2. Step 2: Convert to fraction form
    987.94/1,482.62 = 577.20/x
  3. Step 3: Cross multiply
    987.94x = 1,482.62 × 577.20
  4. Step 4: Simplify right side
    987.94x = 855,768.26
  5. Step 5: Solve for x
    x = 855,768.26/987.94
  6. Step 6: Final answer
    x = 866.21

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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.