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Finding the Fourth Proportional to 1,322.90, 1,979.67 and 975.41

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Solution

The fourth proportional to 1,322.90, 1,979.67 and 975.41 is: 1,459.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,322.90 : 1,979.67 = 975.41 : x
  2. Step 2: Convert to fraction form
    1,322.90/1,979.67 = 975.41/x
  3. Step 3: Cross multiply
    1,322.90x = 1,979.67 × 975.41
  4. Step 4: Simplify right side
    1,322.90x = 1,930,989.91
  5. Step 5: Solve for x
    x = 1,930,989.91/1,322.90
  6. Step 6: Final answer
    x = 1,459.66

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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.