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Finding the Fourth Proportional to 972.71, 1,459.07 and 356.43

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Solution

The fourth proportional to 972.71, 1,459.07 and 356.43 is: 534.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    972.71 : 1,459.07 = 356.43 : x
  2. Step 2: Convert to fraction form
    972.71/1,459.07 = 356.43/x
  3. Step 3: Cross multiply
    972.71x = 1,459.07 × 356.43
  4. Step 4: Simplify right side
    972.71x = 520,054.54
  5. Step 5: Solve for x
    x = 520,054.54/972.71
  6. Step 6: Final answer
    x = 534.65

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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.