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Finding the Fourth Proportional to 1,475.89, 2,213.53 and 501.46

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Solution

The fourth proportional to 1,475.89, 2,213.53 and 501.46 is: 752.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,475.89 : 2,213.53 = 501.46 : x
  2. Step 2: Convert to fraction form
    1,475.89/2,213.53 = 501.46/x
  3. Step 3: Cross multiply
    1,475.89x = 2,213.53 × 501.46
  4. Step 4: Simplify right side
    1,475.89x = 1,109,989.97
  5. Step 5: Solve for x
    x = 1,109,989.97/1,475.89
  6. Step 6: Final answer
    x = 752.08

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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.