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Finding the Fourth Proportional to 860.85, 1,293.58 and 471.15

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Solution

The fourth proportional to 860.85, 1,293.58 and 471.15 is: 707.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    860.85 : 1,293.58 = 471.15 : x
  2. Step 2: Convert to fraction form
    860.85/1,293.58 = 471.15/x
  3. Step 3: Cross multiply
    860.85x = 1,293.58 × 471.15
  4. Step 4: Simplify right side
    860.85x = 609,470.81
  5. Step 5: Solve for x
    x = 609,470.81/860.85
  6. Step 6: Final answer
    x = 707.99

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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.