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Finding the Fourth Proportional to 972.86, 1,458.88 and 314.53

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Solution

The fourth proportional to 972.86, 1,458.88 and 314.53 is: 471.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    972.86 : 1,458.88 = 314.53 : x
  2. Step 2: Convert to fraction form
    972.86/1,458.88 = 314.53/x
  3. Step 3: Cross multiply
    972.86x = 1,458.88 × 314.53
  4. Step 4: Simplify right side
    972.86x = 458,857.09
  5. Step 5: Solve for x
    x = 458,857.09/972.86
  6. Step 6: Final answer
    x = 471.66

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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.