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Finding the Fourth Proportional to 772.32, 1,066.22 and 457.68

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Solution

The fourth proportional to 772.32, 1,066.22 and 457.68 is: 631.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    772.32 : 1,066.22 = 457.68 : x
  2. Step 2: Convert to fraction form
    772.32/1,066.22 = 457.68/x
  3. Step 3: Cross multiply
    772.32x = 1,066.22 × 457.68
  4. Step 4: Simplify right side
    772.32x = 487,985.28
  5. Step 5: Solve for x
    x = 487,985.28/772.32
  6. Step 6: Final answer
    x = 631.84

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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.