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Finding the Fourth Proportional to 1,292.75, 1,939.77 and 598.64

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Solution

The fourth proportional to 1,292.75, 1,939.77 and 598.64 is: 898.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,292.75 : 1,939.77 = 598.64 : x
  2. Step 2: Convert to fraction form
    1,292.75/1,939.77 = 598.64/x
  3. Step 3: Cross multiply
    1,292.75x = 1,939.77 × 598.64
  4. Step 4: Simplify right side
    1,292.75x = 1,161,214.21
  5. Step 5: Solve for x
    x = 1,161,214.21/1,292.75
  6. Step 6: Final answer
    x = 898.25

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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.