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Finding the Fourth Proportional to 972.51, 1,459.14 and 969.48

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Solution

The fourth proportional to 972.51, 1,459.14 and 969.48 is: 1,454.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    972.51 : 1,459.14 = 969.48 : x
  2. Step 2: Convert to fraction form
    972.51/1,459.14 = 969.48/x
  3. Step 3: Cross multiply
    972.51x = 1,459.14 × 969.48
  4. Step 4: Simplify right side
    972.51x = 1,414,607.05
  5. Step 5: Solve for x
    x = 1,414,607.05/972.51
  6. Step 6: Final answer
    x = 1,454.59

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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.