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Finding the Fourth Proportional to 759.69, 1,140.02 and 435.69

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Solution

The fourth proportional to 759.69, 1,140.02 and 435.69 is: 653.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    759.69 : 1,140.02 = 435.69 : x
  2. Step 2: Convert to fraction form
    759.69/1,140.02 = 435.69/x
  3. Step 3: Cross multiply
    759.69x = 1,140.02 × 435.69
  4. Step 4: Simplify right side
    759.69x = 496,693.14
  5. Step 5: Solve for x
    x = 496,693.14/759.69
  6. Step 6: Final answer
    x = 653.81

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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.