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Finding the Fourth Proportional to 972.54, 1,459.00 and 314.59

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Solution

The fourth proportional to 972.54, 1,459.00 and 314.59 is: 471.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    972.54 : 1,459.00 = 314.59 : x
  2. Step 2: Convert to fraction form
    972.54/1,459.00 = 314.59/x
  3. Step 3: Cross multiply
    972.54x = 1,459.00 × 314.59
  4. Step 4: Simplify right side
    972.54x = 458,988.63
  5. Step 5: Solve for x
    x = 458,988.63/972.54
  6. Step 6: Final answer
    x = 471.95

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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.