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Finding the Fourth Proportional to 970.32, 1,454.52 and 797.52

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Solution

The fourth proportional to 970.32, 1,454.52 and 797.52 is: 1,195.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    970.32 : 1,454.52 = 797.52 : x
  2. Step 2: Convert to fraction form
    970.32/1,454.52 = 797.52/x
  3. Step 3: Cross multiply
    970.32x = 1,454.52 × 797.52
  4. Step 4: Simplify right side
    970.32x = 1,160,008.79
  5. Step 5: Solve for x
    x = 1,160,008.79/970.32
  6. Step 6: Final answer
    x = 1,195.49

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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.