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Finding the Fourth Proportional to 988.38, 1,483.53 and 475.74

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Solution

The fourth proportional to 988.38, 1,483.53 and 475.74 is: 714.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    988.38 : 1,483.53 = 475.74 : x
  2. Step 2: Convert to fraction form
    988.38/1,483.53 = 475.74/x
  3. Step 3: Cross multiply
    988.38x = 1,483.53 × 475.74
  4. Step 4: Simplify right side
    988.38x = 705,774.56
  5. Step 5: Solve for x
    x = 705,774.56/988.38
  6. Step 6: Final answer
    x = 714.07

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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.