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Finding the Fourth Proportional to 972.30, 1,459.05 and 387.21

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Solution

The fourth proportional to 972.30, 1,459.05 and 387.21 is: 581.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    972.30 : 1,459.05 = 387.21 : x
  2. Step 2: Convert to fraction form
    972.30/1,459.05 = 387.21/x
  3. Step 3: Cross multiply
    972.30x = 1,459.05 × 387.21
  4. Step 4: Simplify right side
    972.30x = 564,958.75
  5. Step 5: Solve for x
    x = 564,958.75/972.30
  6. Step 6: Final answer
    x = 581.05

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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.