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Finding the Fourth Proportional to 740.43, 1,022.17 and 460.76

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Solution

The fourth proportional to 740.43, 1,022.17 and 460.76 is: 636.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    740.43 : 1,022.17 = 460.76 : x
  2. Step 2: Convert to fraction form
    740.43/1,022.17 = 460.76/x
  3. Step 3: Cross multiply
    740.43x = 1,022.17 × 460.76
  4. Step 4: Simplify right side
    740.43x = 470,978.18
  5. Step 5: Solve for x
    x = 470,978.18/740.43
  6. Step 6: Final answer
    x = 636.08

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Half scale
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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.