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Finding the Fourth Proportional to 972.19, 1,459.05 and 452.26

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Solution

The fourth proportional to 972.19, 1,459.05 and 452.26 is: 678.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    972.19 : 1,459.05 = 452.26 : x
  2. Step 2: Convert to fraction form
    972.19/1,459.05 = 452.26/x
  3. Step 3: Cross multiply
    972.19x = 1,459.05 × 452.26
  4. Step 4: Simplify right side
    972.19x = 659,878.55
  5. Step 5: Solve for x
    x = 659,878.55/972.19
  6. Step 6: Final answer
    x = 678.75

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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.