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Finding the Fourth Proportional to 972.23, 1,459.08 and 712.91

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Solution

The fourth proportional to 972.23, 1,459.08 and 712.91 is: 1,069.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    972.23 : 1,459.08 = 712.91 : x
  2. Step 2: Convert to fraction form
    972.23/1,459.08 = 712.91/x
  3. Step 3: Cross multiply
    972.23x = 1,459.08 × 712.91
  4. Step 4: Simplify right side
    972.23x = 1,040,196.37
  5. Step 5: Solve for x
    x = 1,040,196.37/972.23
  6. Step 6: Final answer
    x = 1,069.91

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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.