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Finding the Fourth Proportional to 700.81, 1,049.69 and 456.59

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Solution

The fourth proportional to 700.81, 1,049.69 and 456.59 is: 683.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    700.81 : 1,049.69 = 456.59 : x
  2. Step 2: Convert to fraction form
    700.81/1,049.69 = 456.59/x
  3. Step 3: Cross multiply
    700.81x = 1,049.69 × 456.59
  4. Step 4: Simplify right side
    700.81x = 479,281.72
  5. Step 5: Solve for x
    x = 479,281.72/700.81
  6. Step 6: Final answer
    x = 683.90

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.