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Finding the Fourth Proportional to 1,324.64, 1,985.70 and 594.62

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Solution

The fourth proportional to 1,324.64, 1,985.70 and 594.62 is: 891.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,324.64 : 1,985.70 = 594.62 : x
  2. Step 2: Convert to fraction form
    1,324.64/1,985.70 = 594.62/x
  3. Step 3: Cross multiply
    1,324.64x = 1,985.70 × 594.62
  4. Step 4: Simplify right side
    1,324.64x = 1,180,736.93
  5. Step 5: Solve for x
    x = 1,180,736.93/1,324.64
  6. Step 6: Final answer
    x = 891.36

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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.