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Finding the Fourth Proportional to 722.10, 996.39 and 456.69

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Solution

The fourth proportional to 722.10, 996.39 and 456.69 is: 630.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    722.10 : 996.39 = 456.69 : x
  2. Step 2: Convert to fraction form
    722.10/996.39 = 456.69/x
  3. Step 3: Cross multiply
    722.10x = 996.39 × 456.69
  4. Step 4: Simplify right side
    722.10x = 455,041.35
  5. Step 5: Solve for x
    x = 455,041.35/722.10
  6. Step 6: Final answer
    x = 630.16

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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.