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Finding the Fourth Proportional to 1,475.35, 2,213.00 and 597.61

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Solution

The fourth proportional to 1,475.35, 2,213.00 and 597.61 is: 896.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,475.35 : 2,213.00 = 597.61 : x
  2. Step 2: Convert to fraction form
    1,475.35/2,213.00 = 597.61/x
  3. Step 3: Cross multiply
    1,475.35x = 2,213.00 × 597.61
  4. Step 4: Simplify right side
    1,475.35x = 1,322,506.89
  5. Step 5: Solve for x
    x = 1,322,506.89/1,475.35
  6. Step 6: Final answer
    x = 896.40

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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.