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Finding the Fourth Proportional to 1,475.29, 2,213.30 and 435.25

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Solution

The fourth proportional to 1,475.29, 2,213.30 and 435.25 is: 652.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,475.29 : 2,213.30 = 435.25 : x
  2. Step 2: Convert to fraction form
    1,475.29/2,213.30 = 435.25/x
  3. Step 3: Cross multiply
    1,475.29x = 2,213.30 × 435.25
  4. Step 4: Simplify right side
    1,475.29x = 963,334.38
  5. Step 5: Solve for x
    x = 963,334.38/1,475.29
  6. Step 6: Final answer
    x = 652.98

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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.