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Finding the Fourth Proportional to 909.02, 1,363.46 and 498.04

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Solution

The fourth proportional to 909.02, 1,363.46 and 498.04 is: 747.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    909.02 : 1,363.46 = 498.04 : x
  2. Step 2: Convert to fraction form
    909.02/1,363.46 = 498.04/x
  3. Step 3: Cross multiply
    909.02x = 1,363.46 × 498.04
  4. Step 4: Simplify right side
    909.02x = 679,057.62
  5. Step 5: Solve for x
    x = 679,057.62/909.02
  6. Step 6: Final answer
    x = 747.02

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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.