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Finding the Fourth Proportional to 1,539.71, 2,309.56 and 385.46

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Solution

The fourth proportional to 1,539.71, 2,309.56 and 385.46 is: 578.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,539.71 : 2,309.56 = 385.46 : x
  2. Step 2: Convert to fraction form
    1,539.71/2,309.56 = 385.46/x
  3. Step 3: Cross multiply
    1,539.71x = 2,309.56 × 385.46
  4. Step 4: Simplify right side
    1,539.71x = 890,239.15
  5. Step 5: Solve for x
    x = 890,239.15/1,539.71
  6. Step 6: Final answer
    x = 578.19

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1.5x scale

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.