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Finding the Fourth Proportional to 972.89, 1,459.16 and 314.74

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Solution

The fourth proportional to 972.89, 1,459.16 and 314.74 is: 472.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    972.89 : 1,459.16 = 314.74 : x
  2. Step 2: Convert to fraction form
    972.89/1,459.16 = 314.74/x
  3. Step 3: Cross multiply
    972.89x = 1,459.16 × 314.74
  4. Step 4: Simplify right side
    972.89x = 459,247.15
  5. Step 5: Solve for x
    x = 459,247.15/972.89
  6. Step 6: Final answer
    x = 472.05

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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.