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Finding the Fourth Proportional to 1,032.57, 1,422.18 and 954.72

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Solution

The fourth proportional to 1,032.57, 1,422.18 and 954.72 is: 1,314.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,032.57 : 1,422.18 = 954.72 : x
  2. Step 2: Convert to fraction form
    1,032.57/1,422.18 = 954.72/x
  3. Step 3: Cross multiply
    1,032.57x = 1,422.18 × 954.72
  4. Step 4: Simplify right side
    1,032.57x = 1,357,783.69
  5. Step 5: Solve for x
    x = 1,357,783.69/1,032.57
  6. Step 6: Final answer
    x = 1,314.96

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.