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Finding the Fourth Proportional to 1,322.48, 1,985.66 and 738.62

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Solution

The fourth proportional to 1,322.48, 1,985.66 and 738.62 is: 1,109.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,322.48 : 1,985.66 = 738.62 : x
  2. Step 2: Convert to fraction form
    1,322.48/1,985.66 = 738.62/x
  3. Step 3: Cross multiply
    1,322.48x = 1,985.66 × 738.62
  4. Step 4: Simplify right side
    1,322.48x = 1,466,648.94
  5. Step 5: Solve for x
    x = 1,466,648.94/1,322.48
  6. Step 6: Final answer
    x = 1,109.02

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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.