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Finding the Fourth Proportional to 1,475.16, 2,212.83 and 435.30

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Solution

The fourth proportional to 1,475.16, 2,212.83 and 435.30 is: 652.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,475.16 : 2,212.83 = 435.30 : x
  2. Step 2: Convert to fraction form
    1,475.16/2,212.83 = 435.30/x
  3. Step 3: Cross multiply
    1,475.16x = 2,212.83 × 435.30
  4. Step 4: Simplify right side
    1,475.16x = 963,244.90
  5. Step 5: Solve for x
    x = 963,244.90/1,475.16
  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.