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Finding the Fourth Proportional to 707.38, 1,059.63 and 322.90

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Solution

The fourth proportional to 707.38, 1,059.63 and 322.90 is: 483.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    707.38 : 1,059.63 = 322.90 : x
  2. Step 2: Convert to fraction form
    707.38/1,059.63 = 322.90/x
  3. Step 3: Cross multiply
    707.38x = 1,059.63 × 322.90
  4. Step 4: Simplify right side
    707.38x = 342,154.53
  5. Step 5: Solve for x
    x = 342,154.53/707.38
  6. Step 6: Final answer
    x = 483.69

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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.