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Finding the Fourth Proportional to 1,475.41, 2,214.12 and 609.72

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Solution

The fourth proportional to 1,475.41, 2,214.12 and 609.72 is: 915.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,475.41 : 2,214.12 = 609.72 : x
  2. Step 2: Convert to fraction form
    1,475.41/2,214.12 = 609.72/x
  3. Step 3: Cross multiply
    1,475.41x = 2,214.12 × 609.72
  4. Step 4: Simplify right side
    1,475.41x = 1,349,993.25
  5. Step 5: Solve for x
    x = 1,349,993.25/1,475.41
  6. Step 6: Final answer
    x = 915.00

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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.