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Finding the Fourth Proportional to 700.76, 967.05 and 386.03

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Solution

The fourth proportional to 700.76, 967.05 and 386.03 is: 532.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    700.76 : 967.05 = 386.03 : x
  2. Step 2: Convert to fraction form
    700.76/967.05 = 386.03/x
  3. Step 3: Cross multiply
    700.76x = 967.05 × 386.03
  4. Step 4: Simplify right side
    700.76x = 373,310.31
  5. Step 5: Solve for x
    x = 373,310.31/700.76
  6. Step 6: Final answer
    x = 532.72

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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.