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Finding the Fourth Proportional to 1,082.80, 1,502.90 and 1,056.07

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Solution

The fourth proportional to 1,082.80, 1,502.90 and 1,056.07 is: 1,465.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,082.80 : 1,502.90 = 1,056.07 : x
  2. Step 2: Convert to fraction form
    1,082.80/1,502.90 = 1,056.07/x
  3. Step 3: Cross multiply
    1,082.80x = 1,502.90 × 1,056.07
  4. Step 4: Simplify right side
    1,082.80x = 1,587,167.60
  5. Step 5: Solve for x
    x = 1,587,167.60/1,082.80
  6. Step 6: Final answer
    x = 1,465.80

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Why These Related Problems?

These problems maintain the same ratio (1.39) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.