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Finding the Fourth Proportional to 972.85, 1,459.27 and 561.73

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Solution

The fourth proportional to 972.85, 1,459.27 and 561.73 is: 842.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    972.85 : 1,459.27 = 561.73 : x
  2. Step 2: Convert to fraction form
    972.85/1,459.27 = 561.73/x
  3. Step 3: Cross multiply
    972.85x = 1,459.27 × 561.73
  4. Step 4: Simplify right side
    972.85x = 819,705.63
  5. Step 5: Solve for x
    x = 819,705.63/972.85
  6. Step 6: Final answer
    x = 842.58

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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.