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Finding the Fourth Proportional to 970.29, 1,453.48 and 449.57

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Solution

The fourth proportional to 970.29, 1,453.48 and 449.57 is: 673.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    970.29 : 1,453.48 = 449.57 : x
  2. Step 2: Convert to fraction form
    970.29/1,453.48 = 449.57/x
  3. Step 3: Cross multiply
    970.29x = 1,453.48 × 449.57
  4. Step 4: Simplify right side
    970.29x = 653,443.51
  5. Step 5: Solve for x
    x = 653,443.51/970.29
  6. Step 6: Final answer
    x = 673.45

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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.