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Finding the Fourth Proportional to 972.75, 1,459.23 and 314.58

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Solution

The fourth proportional to 972.75, 1,459.23 and 314.58 is: 471.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    972.75 : 1,459.23 = 314.58 : x
  2. Step 2: Convert to fraction form
    972.75/1,459.23 = 314.58/x
  3. Step 3: Cross multiply
    972.75x = 1,459.23 × 314.58
  4. Step 4: Simplify right side
    972.75x = 459,044.57
  5. Step 5: Solve for x
    x = 459,044.57/972.75
  6. Step 6: Final answer
    x = 471.90

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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.