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Finding the Fourth Proportional to 988.34, 1,482.53 and 363.74

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Solution

The fourth proportional to 988.34, 1,482.53 and 363.74 is: 545.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    988.34 : 1,482.53 = 363.74 : x
  2. Step 2: Convert to fraction form
    988.34/1,482.53 = 363.74/x
  3. Step 3: Cross multiply
    988.34x = 1,482.53 × 363.74
  4. Step 4: Simplify right side
    988.34x = 539,246.23
  5. Step 5: Solve for x
    x = 539,246.23/988.34
  6. Step 6: Final answer
    x = 545.61

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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.