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Finding the Fourth Proportional to 972.83, 1,459.34 and 314.54

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Solution

The fourth proportional to 972.83, 1,459.34 and 314.54 is: 471.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    972.83 : 1,459.34 = 314.54 : x
  2. Step 2: Convert to fraction form
    972.83/1,459.34 = 314.54/x
  3. Step 3: Cross multiply
    972.83x = 1,459.34 × 314.54
  4. Step 4: Simplify right side
    972.83x = 459,020.80
  5. Step 5: Solve for x
    x = 459,020.80/972.83
  6. Step 6: Final answer
    x = 471.84

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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.