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Finding the Fourth Proportional to 920.77, 1,269.88 and 743.65

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Solution

The fourth proportional to 920.77, 1,269.88 and 743.65 is: 1,025.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    920.77 : 1,269.88 = 743.65 : x
  2. Step 2: Convert to fraction form
    920.77/1,269.88 = 743.65/x
  3. Step 3: Cross multiply
    920.77x = 1,269.88 × 743.65
  4. Step 4: Simplify right side
    920.77x = 944,341.23
  5. Step 5: Solve for x
    x = 944,341.23/920.77
  6. Step 6: Final answer
    x = 1,025.60

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Double scale
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1.5x scale

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.