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Finding the Fourth Proportional to 970.29, 1,451.61 and 749.20

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Solution

The fourth proportional to 970.29, 1,451.61 and 749.20 is: 1,120.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    970.29 : 1,451.61 = 749.20 : x
  2. Step 2: Convert to fraction form
    970.29/1,451.61 = 749.20/x
  3. Step 3: Cross multiply
    970.29x = 1,451.61 × 749.20
  4. Step 4: Simplify right side
    970.29x = 1,087,542.58
  5. Step 5: Solve for x
    x = 1,087,542.58/970.29
  6. Step 6: Final answer
    x = 1,120.84

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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.