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Finding the Fourth Proportional to 740.92, 1,022.86 and 465.08

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Solution

The fourth proportional to 740.92, 1,022.86 and 465.08 is: 642.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    740.92 : 1,022.86 = 465.08 : x
  2. Step 2: Convert to fraction form
    740.92/1,022.86 = 465.08/x
  3. Step 3: Cross multiply
    740.92x = 1,022.86 × 465.08
  4. Step 4: Simplify right side
    740.92x = 475,711.73
  5. Step 5: Solve for x
    x = 475,711.73/740.92
  6. Step 6: Final answer
    x = 642.06

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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.