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Finding the Fourth Proportional to 972.88, 1,459.69 and 969.84

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Solution

The fourth proportional to 972.88, 1,459.69 and 969.84 is: 1,455.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    972.88 : 1,459.69 = 969.84 : x
  2. Step 2: Convert to fraction form
    972.88/1,459.69 = 969.84/x
  3. Step 3: Cross multiply
    972.88x = 1,459.69 × 969.84
  4. Step 4: Simplify right side
    972.88x = 1,415,663.33
  5. Step 5: Solve for x
    x = 1,415,663.33/972.88
  6. Step 6: Final answer
    x = 1,455.13

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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.