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Finding the Fourth Proportional to 700.41, 966.09 and 586.53

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Solution

The fourth proportional to 700.41, 966.09 and 586.53 is: 809.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    700.41 : 966.09 = 586.53 : x
  2. Step 2: Convert to fraction form
    700.41/966.09 = 586.53/x
  3. Step 3: Cross multiply
    700.41x = 966.09 × 586.53
  4. Step 4: Simplify right side
    700.41x = 566,640.77
  5. Step 5: Solve for x
    x = 566,640.77/700.41
  6. Step 6: Final answer
    x = 809.01

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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.