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Finding the Fourth Proportional to 920.10, 1,269.27 and 570.18

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Solution

The fourth proportional to 920.10, 1,269.27 and 570.18 is: 786.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    920.10 : 1,269.27 = 570.18 : x
  2. Step 2: Convert to fraction form
    920.10/1,269.27 = 570.18/x
  3. Step 3: Cross multiply
    920.10x = 1,269.27 × 570.18
  4. Step 4: Simplify right side
    920.10x = 723,712.37
  5. Step 5: Solve for x
    x = 723,712.37/920.10
  6. Step 6: Final answer
    x = 786.56

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Why These Related Problems?

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