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Finding the Fourth Proportional to 970.19, 1,454.48 and 450.57

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Solution

The fourth proportional to 970.19, 1,454.48 and 450.57 is: 675.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    970.19 : 1,454.48 = 450.57 : x
  2. Step 2: Convert to fraction form
    970.19/1,454.48 = 450.57/x
  3. Step 3: Cross multiply
    970.19x = 1,454.48 × 450.57
  4. Step 4: Simplify right side
    970.19x = 655,342.80
  5. Step 5: Solve for x
    x = 655,342.80/970.19
  6. Step 6: Final answer
    x = 675.48

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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.