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Finding the Fourth Proportional to 700.95, 966.96 and 452.28

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Solution

The fourth proportional to 700.95, 966.96 and 452.28 is: 623.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    700.95 : 966.96 = 452.28 : x
  2. Step 2: Convert to fraction form
    700.95/966.96 = 452.28/x
  3. Step 3: Cross multiply
    700.95x = 966.96 × 452.28
  4. Step 4: Simplify right side
    700.95x = 437,336.67
  5. Step 5: Solve for x
    x = 437,336.67/700.95
  6. Step 6: Final answer
    x = 623.92

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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.