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Finding the Fourth Proportional to 700.85, 966.77 and 465.08

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Solution

The fourth proportional to 700.85, 966.77 and 465.08 is: 641.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    700.85 : 966.77 = 465.08 : x
  2. Step 2: Convert to fraction form
    700.85/966.77 = 465.08/x
  3. Step 3: Cross multiply
    700.85x = 966.77 × 465.08
  4. Step 4: Simplify right side
    700.85x = 449,619.98
  5. Step 5: Solve for x
    x = 449,619.98/700.85
  6. Step 6: Final answer
    x = 641.53

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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.