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Finding the Fourth Proportional to 1,056.24, 1,576.74 and 892.40

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Solution

The fourth proportional to 1,056.24, 1,576.74 and 892.40 is: 1,332.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,056.24 : 1,576.74 = 892.40 : x
  2. Step 2: Convert to fraction form
    1,056.24/1,576.74 = 892.40/x
  3. Step 3: Cross multiply
    1,056.24x = 1,576.74 × 892.40
  4. Step 4: Simplify right side
    1,056.24x = 1,407,082.78
  5. Step 5: Solve for x
    x = 1,407,082.78/1,056.24
  6. Step 6: Final answer
    x = 1,332.16

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.