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Finding the Fourth Proportional to 1,152.98, 1,729.22 and 459.53

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Solution

The fourth proportional to 1,152.98, 1,729.22 and 459.53 is: 689.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,152.98 : 1,729.22 = 459.53 : x
  2. Step 2: Convert to fraction form
    1,152.98/1,729.22 = 459.53/x
  3. Step 3: Cross multiply
    1,152.98x = 1,729.22 × 459.53
  4. Step 4: Simplify right side
    1,152.98x = 794,617.52
  5. Step 5: Solve for x
    x = 794,617.52/1,152.98
  6. Step 6: Final answer
    x = 689.19

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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.