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Finding the Fourth Proportional to 1,475.29, 2,212.92 and 597.78

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Solution

The fourth proportional to 1,475.29, 2,212.92 and 597.78 is: 896.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,475.29 : 2,212.92 = 597.78 : x
  2. Step 2: Convert to fraction form
    1,475.29/2,212.92 = 597.78/x
  3. Step 3: Cross multiply
    1,475.29x = 2,212.92 × 597.78
  4. Step 4: Simplify right side
    1,475.29x = 1,322,831.02
  5. Step 5: Solve for x
    x = 1,322,831.02/1,475.29
  6. Step 6: Final answer
    x = 896.66

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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.