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Finding the Fourth Proportional to 987.84, 1,482.60 and 403.16

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Solution

The fourth proportional to 987.84, 1,482.60 and 403.16 is: 605.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    987.84 : 1,482.60 = 403.16 : x
  2. Step 2: Convert to fraction form
    987.84/1,482.60 = 403.16/x
  3. Step 3: Cross multiply
    987.84x = 1,482.60 × 403.16
  4. Step 4: Simplify right side
    987.84x = 597,724.67
  5. Step 5: Solve for x
    x = 597,724.67/987.84
  6. Step 6: Final answer
    x = 605.08

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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.