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Finding the Fourth Proportional to 728.96, 1,007.16 and 646.16

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Solution

The fourth proportional to 728.96, 1,007.16 and 646.16 is: 892.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    728.96 : 1,007.16 = 646.16 : x
  2. Step 2: Convert to fraction form
    728.96/1,007.16 = 646.16/x
  3. Step 3: Cross multiply
    728.96x = 1,007.16 × 646.16
  4. Step 4: Simplify right side
    728.96x = 650,786.51
  5. Step 5: Solve for x
    x = 650,786.51/728.96
  6. Step 6: Final answer
    x = 892.76

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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.