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Finding the Fourth Proportional to 759.58, 1,139.91 and 435.58

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Solution

The fourth proportional to 759.58, 1,139.91 and 435.58 is: 653.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    759.58 : 1,139.91 = 435.58 : x
  2. Step 2: Convert to fraction form
    759.58/1,139.91 = 435.58/x
  3. Step 3: Cross multiply
    759.58x = 1,139.91 × 435.58
  4. Step 4: Simplify right side
    759.58x = 496,522.00
  5. Step 5: Solve for x
    x = 496,522.00/759.58
  6. Step 6: Final answer
    x = 653.68

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