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Finding the Fourth Proportional to 759.52, 1,140.21 and 430.74

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Solution

The fourth proportional to 759.52, 1,140.21 and 430.74 is: 646.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    759.52 : 1,140.21 = 430.74 : x
  2. Step 2: Convert to fraction form
    759.52/1,140.21 = 430.74/x
  3. Step 3: Cross multiply
    759.52x = 1,140.21 × 430.74
  4. Step 4: Simplify right side
    759.52x = 491,134.06
  5. Step 5: Solve for x
    x = 491,134.06/759.52
  6. Step 6: Final answer
    x = 646.64

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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.