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Finding the Fourth Proportional to 972.70, 1,459.11 and 314.65

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Solution

The fourth proportional to 972.70, 1,459.11 and 314.65 is: 471.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    972.70 : 1,459.11 = 314.65 : x
  2. Step 2: Convert to fraction form
    972.70/1,459.11 = 314.65/x
  3. Step 3: Cross multiply
    972.70x = 1,459.11 × 314.65
  4. Step 4: Simplify right side
    972.70x = 459,108.96
  5. Step 5: Solve for x
    x = 459,108.96/972.70
  6. Step 6: Final answer
    x = 471.99

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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.